Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 662, 420, 876, 219 i.e. 10148460 smallest integer divisible by all numbers.
Least common multiple (LCM) of 662, 420, 876, 219 is 10148460.
LCM(662, 420, 876, 219) = 10148460
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 662, 420, 876, 219 |
2 | 331, 210, 438, 219 |
3 | 331, 105, 219, 219 |
73 | 331, 35, 73, 73 |
331, 35, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 331 x 35 x 1 x 1 = 10148460
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 662,420,876,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,420,876,219) = 1
common factors(in case of two or more numbers have common factors) = 5256
GCF(662,420,876,219) x common factors =1 x 5256 = 5256
LCM(662,420,876,219) = ( 662 × 420 × 876 × 219 ) / 5256
LCM(662,420,876,219) = 53340305760 / 5256
LCM(662,420,876,219) = 10148460
∴ Least Common Multiple of 662,420,876,219 is 10148460
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 662, 420, 876, 219?
Answer: LCM of 662, 420, 876, 219 is 10148460.
2. What are the Factors of 10148460?
Answer: Factors of 10148460 are . There are integers that are factors of 10148460
3. How to Find the LCM of 662, 420, 876, 219 ?
Least Common Multiple of 662, 420, 876, 219.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(662, 420, 876, 219) = 2 x 2 x 3 x 5 x 7 x 73 x 331 = 10148460.