Factors go into numbers, numbers go into multiples.
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.
The LCM is the Lowest Common Multiple; it is the smallest number that is a common multiple of the given numbers.
Example.
Calculate the LCM of 4 and 6.
The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
The multiples of 6 are 6, 12, 18, 24, 30, 36, 42, ...
=> The common multiples of 4 and 6 are 12, 24, 36, ...
=> The Lowest Common Multiple of 4 and 6 is 12.
The gcd is the Greatest Common Divisor; it the the largest number that divides exactly into the given numbers.
Example.
Calculate the gcd of 28 and 70
The divisors of 28 are 1, 2, 4, 7, 14, 28.
The divisors of 70 are 1, 2, 5, 7, 14, 35, 70.
=> The common divisors are 1, 2, 7, 14.
=> The Greatest Common Divisor of 28 and 70 is 14.
The LCM is sometimes called the LCD - Lowest Common Denominator - especially when dealing with adding or subtracting fractions where a common denominator is required.
The GCD is also called the GCF - Greatest Common Factor - or HCF - Highest Common Factor.
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
The GCF is 4.
The LCM is 11592. The GCF is 2.
The GCF refers to whole numbers, not decimals.
The LCM is 1260. The GCF is 12.
The LCM is their product. The GCF is 1.
The GCF is 12. The LCM is 360.
The GCF is: 16The LCM is: 640The LCM is: 640
The GCF is 15. The LCM is 450.
The GCF is 3. The LCM is 99.
The GCF is 15. The LCM is 990.
The GCF is 5. The LCM is 150.
Gcf=7 lcm=98
LCM is 12, GCF is 2
Lcm: 150 gcf: 15
150 is LCM and GCF is 15
The GCF is 5. The LCM is 420.
LCM is 7308 and GCF is 9