Least Common Multiple of 3134/153, 9908/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3134/153, 9908/826 quickly i.e. 15525836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3134/153, 9908/826 is 15525836.

LCM(3134/153, 9908/826) = 15525836

LCM of 3134/153, 9908/826

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 3134/153,9908/826

Given numbers are 3134/153,9908/826

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 3134,9908

Least Common Multiple of Numerators i.e. LCM of 3134,9908 is 15525836.

GCF of Denominators means GCF of 153,826 as per the given fractions.

GCF of 153,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3134,9908

LCM of Fractions 3134/153,9908/826 is 15525836

2 3134, 9908
1567, 4954

∴ So the LCM of the given numbers is 2 x 1567 x 4954 = 15525836

Least Common Multiple of 3134,9908 with GCF Formula

Least Common Multiple of 3134,9908 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 3134,9908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3134,9908) = 2

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

GCF(3134,9908) x common factors =2 x 1 = 2

LCM(3134,9908) = ( 3134 × 9908 ) / 2

LCM(3134,9908) = 31051672 / 2

LCM(3134,9908) = 15525836


Lets's calculate GCF of 153,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15525836/1

Therefore the LCM of Fractions 3134/153,9908/826 is 15525836

Greatest Common Factor of 153,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,826 By Matching Biggest Common Factor Method

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 153,826 . The biggest common factor number is the GCF number.
So the greatest common factor 153,826 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3134/153, 9908/826

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 3134/153, 9908/826?

Answer: LCM of Numerators as per given numbers 3134/153, 9908/826 is

LCM of Numerators i.e. for 3134,9908 is 15525836

GCF of denominators i.e. for 153,826 is 1.

Thus, LCM of Fractions is 15525836.Finally, LCM of Fractions for 3134/153, 9908/826 is 15525836.