Least Common Multiple of 892/326, 284/602, 359/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/326, 284/602, 359/747 quickly i.e. 22736188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/326, 284/602, 359/747 is 22736188.

LCM(892/326, 284/602, 359/747) = 22736188

LCM of 892/326, 284/602, 359/747

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 892/326,284/602,359/747

Given numbers are 892/326,284/602,359/747

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 892,284,359

Least Common Multiple of Numerators i.e. LCM of 892,284,359 is 22736188.

GCF of Denominators means GCF of 326,602,747 as per the given fractions.

GCF of 326,602,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,284,359

LCM of Fractions 892/326,284/602,359/747 is 22736188

2 892, 284, 359
2 446, 142, 359
223, 71, 359

∴ So the LCM of the given numbers is 2 x 2 x 223 x 71 x 359 = 22736188

Least Common Multiple of 892,284,359 with GCF Formula

Least Common Multiple of 892,284,359 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 892,284,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,284,359) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(892,284,359) x common factors =1 x 4 = 4

LCM(892,284,359) = ( 892 × 284 × 359 ) / 4

LCM(892,284,359) = 90944752 / 4

LCM(892,284,359) = 22736188


Lets's calculate GCF of 326,602,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22736188/1

Therefore the LCM of Fractions 892/326,284/602,359/747 is 22736188

Greatest Common Factor of 326,602,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 326,602,747 By Matching Biggest Common Factor Method

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 326,602,747 . The biggest common factor number is the GCF number.
So the greatest common factor 326,602,747 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 892/326, 284/602, 359/747

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 892/326, 284/602, 359/747?

Answer: LCM of Numerators as per given numbers 892/326, 284/602, 359/747 is

LCM of Numerators i.e. for 892,284,359 is 22736188

GCF of denominators i.e. for 326,602,747 is 1.

Thus, LCM of Fractions is 22736188.Finally, LCM of Fractions for 892/326, 284/602, 359/747 is 22736188.