Lcm Of 12 And 42
The question "What is the LCM and GCF of 12 and 42?" tin can exist dissever into two questions: "What is the LCM of 12 and 42?" and "What is the GCF of 12 and 42?"
In the question "What is the LCM and GCF of 12 and 42?", LCM is the abbreviation of Least Common Multiple and GCF is the abridgement of Greatest Mutual Factor.
To notice the LCM, we kickoff list the multiples of 12 and 42 and then we find the smallest multiple they have in common. To find the multiples of any number, you lot simply multiply the number by i, then by 2, then by 3 and so on. Hither is the showtime list of multiples of 12 and 42:
Multiples of 12: 12, 24, 36, 48, 60, 72, etc.
Multiples of 42: 42, 84, 126, 168, 210, 252, etc.
The least multiple on the ii lists that they have in common is the LCM of 12 and 42. Therefore, the LCM of 12 and 42 is 84.
To discover the GCF, nosotros first list the factors of 12 and 42 and then we find the largest cistron they have in mutual. The factors of any number, are all the numbers that you tin can evenly carve up into that number.
In other words, the factors of 12 are all the numbers that can evenly separate into 12, and the factors of 42 are all the numbers that tin evenly divide into 42. Hither are the factors for 12 and 42:
Factors of 12: 1, 2, iii, four, half-dozen, and 12.
Factors of 42: i, ii, 3, half-dozen, 7, 14, 21, and 42.
The greatest cistron on the 2 lists that they have in common is the GCF of 12 and 42. Therefore, the GCF of 12 and 42 is 6.
In summary, the answer to the question "What is the LCM and GCF of 12 and 42?" is
84 and 6.
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