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 538, 390, 784, 905, 272 i.e. 126540763440 smallest integer divisible by all numbers.
Least common multiple (LCM) of 538, 390, 784, 905, 272 is 126540763440.
LCM(538, 390, 784, 905, 272) = 126540763440
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 538, 390, 784, 905, 272 |
2 | 269, 195, 392, 905, 136 |
2 | 269, 195, 196, 905, 68 |
2 | 269, 195, 98, 905, 34 |
5 | 269, 195, 49, 905, 17 |
269, 39, 49, 181, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 269 x 39 x 49 x 181 x 17 = 126540763440
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 538,390,784,905,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,390,784,905,272) = 1
common factors(in case of two or more numbers have common factors) = 320
GCF(538,390,784,905,272) x common factors =1 x 320 = 320
LCM(538,390,784,905,272) = ( 538 × 390 × 784 × 905 × 272 ) / 320
LCM(538,390,784,905,272) = 40493044300800 / 320
LCM(538,390,784,905,272) = 126540763440
∴ Least Common Multiple of 538,390,784,905,272 is 126540763440
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 538, 390, 784, 905, 272?
Answer: LCM of 538, 390, 784, 905, 272 is 126540763440.
2. What are the Factors of 126540763440?
Answer: Factors of 126540763440 are . There are integers that are factors of 126540763440
3. How to Find the LCM of 538, 390, 784, 905, 272 ?
Least Common Multiple of 538, 390, 784, 905, 272.
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(538, 390, 784, 905, 272) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 17 x 181 x 269 = 126540763440.