Least Common Multiple of 380, 970, 616, 384, 923

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 380, 970, 616, 384, 923 i.e. 251488997760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 380, 970, 616, 384, 923 is 251488997760.

LCM(380, 970, 616, 384, 923) = 251488997760

LCM of 380, 970, 616, 384, 923

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 380,970,616,384,923

Least Common Multiple (LCM) of 380,970,616,384,923 is 251488997760

2 380, 970, 616, 384, 923
2 190, 485, 308, 192, 923
2 95, 485, 154, 96, 923
5 95, 485, 77, 48, 923
19, 97, 77, 48, 923

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 19 x 97 x 77 x 48 x 923 = 251488997760

Least Common Multiple of 380,970,616,384,923 with GCF Formula

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 380,970,616,384,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,970,616,384,923) = 1

common factors(in case of two or more numbers have common factors) = 320

GCF(380,970,616,384,923) x common factors =1 x 320 = 320

LCM(380,970,616,384,923) = ( 380 × 970 × 616 × 384 × 923 ) / 320

LCM(380,970,616,384,923) = 80476479283200 / 320

LCM(380,970,616,384,923) = 251488997760

∴ Least Common Multiple of 380,970,616,384,923 is 251488997760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 380, 970, 616, 384, 923

1. What is the LCM of 380, 970, 616, 384, 923?

Answer: LCM of 380, 970, 616, 384, 923 is 251488997760.

2. What are the Factors of 251488997760?

Answer: Factors of 251488997760 are . There are integers that are factors of 251488997760

3. How to Find the LCM of 380, 970, 616, 384, 923 ?

Least Common Multiple of 380, 970, 616, 384, 923.

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(380, 970, 616, 384, 923) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 19 x 71 x 97 = 251488997760.