Least Common Multiple of 8984/760, 7454/4134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8984/760, 7454/4134 quickly i.e. 16741684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8984/760, 7454/4134 is 16741684.

LCM(8984/760, 7454/4134) = 16741684

LCM of 8984/760, 7454/4134

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 8984/760,7454/4134

Given numbers are 8984/760,7454/4134

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 8984,7454

Least Common Multiple of Numerators i.e. LCM of 8984,7454 is 33483368.

GCF of Denominators means GCF of 760,4134 as per the given fractions.

GCF of 760,4134 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8984,7454

LCM of Fractions 8984/760,7454/4134 is 16741684

2 8984, 7454
4492, 3727

∴ So the LCM of the given numbers is 2 x 4492 x 3727 = 33483368

Least Common Multiple of 8984,7454 with GCF Formula

Least Common Multiple of 8984,7454 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 8984,7454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8984,7454) = 2

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

GCF(8984,7454) x common factors =2 x 1 = 2

LCM(8984,7454) = ( 8984 × 7454 ) / 2

LCM(8984,7454) = 66966736 / 2

LCM(8984,7454) = 33483368


Lets's calculate GCF of 760,4134

2 760, 4134
380, 2067

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33483368/2

Therefore the LCM of Fractions 8984/760,7454/4134 is 16741684

Greatest Common Factor of 760,4134 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,4134 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Greatest Common Factor

We found the factors 760,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 760,4134 is 2.


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 8984/760, 7454/4134

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 8984/760, 7454/4134?

Answer: LCM of Numerators as per given numbers 8984/760, 7454/4134 is

LCM of Numerators i.e. for 8984,7454 is 33483368

GCF of denominators i.e. for 760,4134 is 2.

Thus, LCM of Fractions is 16741684.Finally, LCM of Fractions for 8984/760, 7454/4134 is 16741684.