Least Common Multiple of 967/22, 946/91, 721/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 967/22, 946/91, 721/478 quickly i.e. 659557822 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/22, 946/91, 721/478 is 659557822.

LCM(967/22, 946/91, 721/478) = 659557822

LCM of 967/22, 946/91, 721/478

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 967/22,946/91,721/478

Given numbers are 967/22,946/91,721/478

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 967,946,721

Least Common Multiple of Numerators i.e. LCM of 967,946,721 is 659557822.

GCF of Denominators means GCF of 22,91,478 as per the given fractions.

GCF of 22,91,478 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,946,721

LCM of Fractions 967/22,946/91,721/478 is 659557822

Given numbers has no common factors except 1. So, there LCM is their product i.e 659557822

Least Common Multiple of 967,946,721 with GCF Formula

Least Common Multiple of 967,946,721 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 967,946,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,946,721) = 1

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

GCF(967,946,721) x common factors =1 x 1 = 1

LCM(967,946,721) = ( 967 × 946 × 721 ) / 1

LCM(967,946,721) = 659557822 / 1

LCM(967,946,721) = 659557822


Lets's calculate GCF of 22,91,478

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 659557822/1

Therefore the LCM of Fractions 967/22,946/91,721/478 is 659557822

Greatest Common Factor of 22,91,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,91,478 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 22,91,478 . The biggest common factor number is the GCF number.
So the greatest common factor 22,91,478 is 1.


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Frequently Asked Questions on Fractional LCM of 967/22, 946/91, 721/478

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 967/22, 946/91, 721/478?

Answer: LCM of Numerators as per given numbers 967/22, 946/91, 721/478 is

LCM of Numerators i.e. for 967,946,721 is 659557822

GCF of denominators i.e. for 22,91,478 is 1.

Thus, LCM of Fractions is 659557822.Finally, LCM of Fractions for 967/22, 946/91, 721/478 is 659557822.