Least Common Multiple of 20, 69, 56, 258

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 20, 69, 56, 258 i.e. 830760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 69, 56, 258 is 830760.

LCM(20, 69, 56, 258) = 830760

LCM of 20, 69, 56, 258

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

LCM of:

Least Common Multiple of 20,69,56,258

Least Common Multiple (LCM) of 20,69,56,258 is 830760

2 20, 69, 56, 258
2 10, 69, 28, 129
3 5, 69, 14, 129
5, 23, 14, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 23 x 14 x 43 = 830760

Least Common Multiple of 20,69,56,258 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 20,69,56,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,69,56,258) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(20,69,56,258) x common factors =1 x 24 = 24

LCM(20,69,56,258) = ( 20 × 69 × 56 × 258 ) / 24

LCM(20,69,56,258) = 19938240 / 24

LCM(20,69,56,258) = 830760

∴ Least Common Multiple of 20,69,56,258 is 830760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 20, 69, 56, 258

1. What is the LCM of 20, 69, 56, 258?

Answer: LCM of 20, 69, 56, 258 is 830760.

2. What are the Factors of 830760?

Answer: Factors of 830760 are . There are integers that are factors of 830760

3. How to Find the LCM of 20, 69, 56, 258 ?

Least Common Multiple of 20, 69, 56, 258.

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(20, 69, 56, 258) = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 43 = 830760.