Least Common Multiple of 7611/851, 4491/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7611/851, 4491/730 quickly i.e. 11393667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7611/851, 4491/730 is 11393667.

LCM(7611/851, 4491/730) = 11393667

LCM of 7611/851, 4491/730

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 7611/851,4491/730

Given numbers are 7611/851,4491/730

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 7611,4491

Least Common Multiple of Numerators i.e. LCM of 7611,4491 is 11393667.

GCF of Denominators means GCF of 851,730 as per the given fractions.

GCF of 851,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7611,4491

LCM of Fractions 7611/851,4491/730 is 11393667

3 7611, 4491
2537, 1497

∴ So the LCM of the given numbers is 3 x 2537 x 1497 = 11393667

Least Common Multiple of 7611,4491 with GCF Formula

Least Common Multiple of 7611,4491 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 7611,4491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7611,4491) = 3

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

GCF(7611,4491) x common factors =3 x 1 = 3

LCM(7611,4491) = ( 7611 × 4491 ) / 3

LCM(7611,4491) = 34181001 / 3

LCM(7611,4491) = 11393667


Lets's calculate GCF of 851,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11393667/1

Therefore the LCM of Fractions 7611/851,4491/730 is 11393667

Greatest Common Factor of 851,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,730 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 851,730 . The biggest common factor number is the GCF number.
So the greatest common factor 851,730 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7611/851, 4491/730

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 7611/851, 4491/730?

Answer: LCM of Numerators as per given numbers 7611/851, 4491/730 is

LCM of Numerators i.e. for 7611,4491 is 11393667

GCF of denominators i.e. for 851,730 is 1.

Thus, LCM of Fractions is 11393667.Finally, LCM of Fractions for 7611/851, 4491/730 is 11393667.