Least Common Multiple of 8906/694, 7502/7457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8906/694, 7502/7457 quickly i.e. 33406406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8906/694, 7502/7457 is 33406406.

LCM(8906/694, 7502/7457) = 33406406

LCM of 8906/694, 7502/7457

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 8906/694,7502/7457

Given numbers are 8906/694,7502/7457

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 8906,7502

Least Common Multiple of Numerators i.e. LCM of 8906,7502 is 33406406.

GCF of Denominators means GCF of 694,7457 as per the given fractions.

GCF of 694,7457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8906,7502

LCM of Fractions 8906/694,7502/7457 is 33406406

2 8906, 7502
4453, 3751

∴ So the LCM of the given numbers is 2 x 4453 x 3751 = 33406406

Least Common Multiple of 8906,7502 with GCF Formula

Least Common Multiple of 8906,7502 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 8906,7502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8906,7502) = 2

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

GCF(8906,7502) x common factors =2 x 1 = 2

LCM(8906,7502) = ( 8906 × 7502 ) / 2

LCM(8906,7502) = 66812812 / 2

LCM(8906,7502) = 33406406


Lets's calculate GCF of 694,7457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33406406/1

Therefore the LCM of Fractions 8906/694,7502/7457 is 33406406

Greatest Common Factor of 694,7457 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,7457 By Matching Biggest Common Factor Method

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 7457

List of positive integer factors of 7457 that divides 7457 without a remainder.

1,7457

Greatest Common Factor

We found the factors 694,7457 . The biggest common factor number is the GCF number.
So the greatest common factor 694,7457 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8906/694, 7502/7457

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 8906/694, 7502/7457?

Answer: LCM of Numerators as per given numbers 8906/694, 7502/7457 is

LCM of Numerators i.e. for 8906,7502 is 33406406

GCF of denominators i.e. for 694,7457 is 1.

Thus, LCM of Fractions is 33406406.Finally, LCM of Fractions for 8906/694, 7502/7457 is 33406406.