Least Common Multiple of 8358/832, 8638/8502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8358/832, 8638/8502 quickly i.e. 5156886/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8358/832, 8638/8502 is 5156886/26.

LCM(8358/832, 8638/8502) = 5156886/26

LCM of 8358/832, 8638/8502

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 8358/832,8638/8502

Given numbers are 8358/832,8638/8502

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 8358,8638

Least Common Multiple of Numerators i.e. LCM of 8358,8638 is 5156886.

GCF of Denominators means GCF of 832,8502 as per the given fractions.

GCF of 832,8502 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8358,8638

LCM of Fractions 8358/832,8638/8502 is 5156886/26

2 8358, 8638
7 4179, 4319
597, 617

∴ So the LCM of the given numbers is 2 x 7 x 597 x 617 = 5156886

Least Common Multiple of 8358,8638 with GCF Formula

Least Common Multiple of 8358,8638 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 8358,8638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8358,8638) = 14

common factors(in case of two or more numbers have common factors) = 1

GCF(8358,8638) x common factors =14 x 1 = 14

LCM(8358,8638) = ( 8358 × 8638 ) / 14

LCM(8358,8638) = 72196404 / 14

LCM(8358,8638) = 5156886


Lets's calculate GCF of 832,8502

2 832, 8502
13 416, 4251
32, 327

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5156886/26

Therefore the LCM of Fractions 8358/832,8638/8502 is 5156886/26

Greatest Common Factor of 832,8502 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,8502 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 8502

List of positive integer factors of 8502 that divides 8502 without a remainder.

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Greatest Common Factor

We found the factors 832,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 832,8502 is 26.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8358/832, 8638/8502

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 8358/832, 8638/8502?

Answer: LCM of Numerators as per given numbers 8358/832, 8638/8502 is

LCM of Numerators i.e. for 8358,8638 is 5156886

GCF of denominators i.e. for 832,8502 is 26.

Thus, LCM of Fractions is 5156886/26.Finally, LCM of Fractions for 8358/832, 8638/8502 is 5156886/26.