Least Common Multiple of 23/139, 42/892, 626/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/139, 42/892, 626/316 quickly i.e. 302358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/139, 42/892, 626/316 is 302358.

LCM(23/139, 42/892, 626/316) = 302358

LCM of 23/139, 42/892, 626/316

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 23/139,42/892,626/316

Given numbers are 23/139,42/892,626/316

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 23,42,626

Least Common Multiple of Numerators i.e. LCM of 23,42,626 is 302358.

GCF of Denominators means GCF of 139,892,316 as per the given fractions.

GCF of 139,892,316 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,42,626

LCM of Fractions 23/139,42/892,626/316 is 302358

2 23, 42, 626
23, 21, 313

∴ So the LCM of the given numbers is 2 x 23 x 21 x 313 = 302358

Least Common Multiple of 23,42,626 with GCF Formula

Least Common Multiple of 23,42,626 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 23,42,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,42,626) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,42,626) x common factors =1 x 2 = 2

LCM(23,42,626) = ( 23 × 42 × 626 ) / 2

LCM(23,42,626) = 604716 / 2

LCM(23,42,626) = 302358


Lets's calculate GCF of 139,892,316

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302358/1

Therefore the LCM of Fractions 23/139,42/892,626/316 is 302358

Greatest Common Factor of 139,892,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,892,316 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 139,892,316 . The biggest common factor number is the GCF number.
So the greatest common factor 139,892,316 is 1.


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 23/139, 42/892, 626/316

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 23/139, 42/892, 626/316?

Answer: LCM of Numerators as per given numbers 23/139, 42/892, 626/316 is

LCM of Numerators i.e. for 23,42,626 is 302358

GCF of denominators i.e. for 139,892,316 is 1.

Thus, LCM of Fractions is 302358.Finally, LCM of Fractions for 23/139, 42/892, 626/316 is 302358.