Least Common Multiple of 340/26, 922/42, 875/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/26, 922/42, 875/418 quickly i.e. 13714750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/26, 922/42, 875/418 is 13714750.

LCM(340/26, 922/42, 875/418) = 13714750

LCM of 340/26, 922/42, 875/418

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 340/26,922/42,875/418

Given numbers are 340/26,922/42,875/418

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 340,922,875

Least Common Multiple of Numerators i.e. LCM of 340,922,875 is 27429500.

GCF of Denominators means GCF of 26,42,418 as per the given fractions.

GCF of 26,42,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,922,875

LCM of Fractions 340/26,922/42,875/418 is 13714750

2 340, 922, 875
5 170, 461, 875
34, 461, 175

∴ So the LCM of the given numbers is 2 x 5 x 34 x 461 x 175 = 27429500

Least Common Multiple of 340,922,875 with GCF Formula

Least Common Multiple of 340,922,875 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 340,922,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,922,875) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(340,922,875) x common factors =1 x 10 = 10

LCM(340,922,875) = ( 340 × 922 × 875 ) / 10

LCM(340,922,875) = 274295000 / 10

LCM(340,922,875) = 27429500


Lets's calculate GCF of 26,42,418

2 26, 42, 418
13, 21, 209

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27429500/2

Therefore the LCM of Fractions 340/26,922/42,875/418 is 13714750

Greatest Common Factor of 26,42,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,42,418 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 26,42,418 . The biggest common factor number is the GCF number.
So the greatest common factor 26,42,418 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 340/26, 922/42, 875/418

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 340/26, 922/42, 875/418?

Answer: LCM of Numerators as per given numbers 340/26, 922/42, 875/418 is

LCM of Numerators i.e. for 340,922,875 is 27429500

GCF of denominators i.e. for 26,42,418 is 2.

Thus, LCM of Fractions is 13714750.Finally, LCM of Fractions for 340/26, 922/42, 875/418 is 13714750.