Least Common Multiple of 7163/661, 9542/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7163/661, 9542/759 quickly i.e. 5257642 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7163/661, 9542/759 is 5257642.

LCM(7163/661, 9542/759) = 5257642

LCM of 7163/661, 9542/759

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 7163/661,9542/759

Given numbers are 7163/661,9542/759

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 7163,9542

Least Common Multiple of Numerators i.e. LCM of 7163,9542 is 5257642.

GCF of Denominators means GCF of 661,759 as per the given fractions.

GCF of 661,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7163,9542

LCM of Fractions 7163/661,9542/759 is 5257642

13 7163, 9542
551, 734

∴ So the LCM of the given numbers is 13 x 551 x 734 = 5257642

Least Common Multiple of 7163,9542 with GCF Formula

Least Common Multiple of 7163,9542 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 7163,9542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7163,9542) = 13

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

GCF(7163,9542) x common factors =13 x 1 = 13

LCM(7163,9542) = ( 7163 × 9542 ) / 13

LCM(7163,9542) = 68349346 / 13

LCM(7163,9542) = 5257642


Lets's calculate GCF of 661,759

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5257642/1

Therefore the LCM of Fractions 7163/661,9542/759 is 5257642

Greatest Common Factor of 661,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 661,759 By Matching Biggest Common Factor Method

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 661,759 . The biggest common factor number is the GCF number.
So the greatest common factor 661,759 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7163/661, 9542/759

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 7163/661, 9542/759?

Answer: LCM of Numerators as per given numbers 7163/661, 9542/759 is

LCM of Numerators i.e. for 7163,9542 is 5257642

GCF of denominators i.e. for 661,759 is 1.

Thus, LCM of Fractions is 5257642.Finally, LCM of Fractions for 7163/661, 9542/759 is 5257642.