Least Common Multiple of 380, 105, 140, 230, 869

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, 105, 140, 230, 869 i.e. 159496260 smallest integer divisible by all numbers.

Least common multiple (LCM) of 380, 105, 140, 230, 869 is 159496260.

LCM(380, 105, 140, 230, 869) = 159496260

LCM of 380, 105, 140, 230, 869

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

LCM of:

Least Common Multiple of 380,105,140,230,869

Least Common Multiple (LCM) of 380,105,140,230,869 is 159496260

2 380, 105, 140, 230, 869
2 190, 105, 70, 115, 869
5 95, 105, 35, 115, 869
7 19, 21, 7, 23, 869
19, 3, 1, 23, 869

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 19 x 3 x 1 x 23 x 869 = 159496260

Least Common Multiple of 380,105,140,230,869 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 380,105,140,230,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(380,105,140,230,869) = 1

common factors(in case of two or more numbers have common factors) = 7000

GCF(380,105,140,230,869) x common factors =1 x 7000 = 7000

LCM(380,105,140,230,869) = ( 380 × 105 × 140 × 230 × 869 ) / 7000

LCM(380,105,140,230,869) = 1116473820000 / 7000

LCM(380,105,140,230,869) = 159496260

∴ Least Common Multiple of 380,105,140,230,869 is 159496260

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 380, 105, 140, 230, 869

1. What is the LCM of 380, 105, 140, 230, 869?

Answer: LCM of 380, 105, 140, 230, 869 is 159496260.

2. What are the Factors of 159496260?

Answer: Factors of 159496260 are . There are integers that are factors of 159496260

3. How to Find the LCM of 380, 105, 140, 230, 869 ?

Least Common Multiple of 380, 105, 140, 230, 869.

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, 105, 140, 230, 869) = 2 x 2 x 3 x 5 x 7 x 11 x 19 x 23 x 79 = 159496260.