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 456, 351, 780, 261, 378 i.e. 54152280 smallest integer divisible by all numbers.
Least common multiple (LCM) of 456, 351, 780, 261, 378 is 54152280.
LCM(456, 351, 780, 261, 378) = 54152280
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 456, 351, 780, 261, 378 |
2 | 228, 351, 390, 261, 189 |
3 | 114, 351, 195, 261, 189 |
3 | 38, 117, 65, 87, 63 |
3 | 38, 39, 65, 29, 21 |
13 | 38, 13, 65, 29, 7 |
38, 1, 5, 29, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 13 x 38 x 1 x 5 x 29 x 7 = 54152280
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 456,351,780,261,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,351,780,261,378) = 3
common factors(in case of two or more numbers have common factors) = 75816
GCF(456,351,780,261,378) x common factors =3 x 75816 = 227448
LCM(456,351,780,261,378) = ( 456 × 351 × 780 × 261 × 378 ) / 227448
LCM(456,351,780,261,378) = 12316827781440 / 227448
LCM(456,351,780,261,378) = 54152280
∴ Least Common Multiple of 456,351,780,261,378 is 54152280
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 456, 351, 780, 261, 378?
Answer: LCM of 456, 351, 780, 261, 378 is 54152280.
2. What are the Factors of 54152280?
Answer: Factors of 54152280 are . There are integers that are factors of 54152280
3. How to Find the LCM of 456, 351, 780, 261, 378 ?
Least Common Multiple of 456, 351, 780, 261, 378.
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(456, 351, 780, 261, 378) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 19 x 29 = 54152280.