Least Common Multiple of 123/892, 436/133, 657/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/892, 436/133, 657/638 quickly i.e. 11744532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/892, 436/133, 657/638 is 11744532.

LCM(123/892, 436/133, 657/638) = 11744532

LCM of 123/892, 436/133, 657/638

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 123/892,436/133,657/638

Given numbers are 123/892,436/133,657/638

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 123,436,657

Least Common Multiple of Numerators i.e. LCM of 123,436,657 is 11744532.

GCF of Denominators means GCF of 892,133,638 as per the given fractions.

GCF of 892,133,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,436,657

LCM of Fractions 123/892,436/133,657/638 is 11744532

3 123, 436, 657
41, 436, 219

∴ So the LCM of the given numbers is 3 x 41 x 436 x 219 = 11744532

Least Common Multiple of 123,436,657 with GCF Formula

Least Common Multiple of 123,436,657 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 123,436,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,436,657) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(123,436,657) x common factors =1 x 3 = 3

LCM(123,436,657) = ( 123 × 436 × 657 ) / 3

LCM(123,436,657) = 35233596 / 3

LCM(123,436,657) = 11744532


Lets's calculate GCF of 892,133,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11744532/1

Therefore the LCM of Fractions 123/892,436/133,657/638 is 11744532

Greatest Common Factor of 892,133,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 892,133,638 By Matching Biggest Common Factor Method

Factors of 892

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

1,2,4,223,446,892

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 892,133,638 . The biggest common factor number is the GCF number.
So the greatest common factor 892,133,638 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 123/892, 436/133, 657/638

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 123/892, 436/133, 657/638?

Answer: LCM of Numerators as per given numbers 123/892, 436/133, 657/638 is

LCM of Numerators i.e. for 123,436,657 is 11744532

GCF of denominators i.e. for 892,133,638 is 1.

Thus, LCM of Fractions is 11744532.Finally, LCM of Fractions for 123/892, 436/133, 657/638 is 11744532.