Least Common Multiple of 348, 75, 114, 426

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 348, 75, 114, 426 i.e. 11736300 smallest integer divisible by all numbers.

Least common multiple (LCM) of 348, 75, 114, 426 is 11736300.

LCM(348, 75, 114, 426) = 11736300

LCM of 348, 75, 114, 426

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

LCM of:

Least Common Multiple of 348,75,114,426

Least Common Multiple (LCM) of 348,75,114,426 is 11736300

2 348, 75, 114, 426
3 174, 75, 57, 213
58, 25, 19, 71

∴ So the LCM of the given numbers is 2 x 3 x 58 x 25 x 19 x 71 = 11736300

Least Common Multiple of 348,75,114,426 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 348,75,114,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,75,114,426) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(348,75,114,426) x common factors =3 x 36 = 108

LCM(348,75,114,426) = ( 348 × 75 × 114 × 426 ) / 108

LCM(348,75,114,426) = 1267520400 / 108

LCM(348,75,114,426) = 11736300

∴ Least Common Multiple of 348,75,114,426 is 11736300

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 348, 75, 114, 426

1. What is the LCM of 348, 75, 114, 426?

Answer: LCM of 348, 75, 114, 426 is 11736300.

2. What are the Factors of 11736300?

Answer: Factors of 11736300 are . There are integers that are factors of 11736300

3. How to Find the LCM of 348, 75, 114, 426 ?

Least Common Multiple of 348, 75, 114, 426.

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(348, 75, 114, 426) = 2 x 2 x 3 x 5 x 5 x 19 x 29 x 71 = 11736300.