Least Common Multiple of 661/347, 972/769, 763/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 661/347, 972/769, 763/898 quickly i.e. 490221396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/347, 972/769, 763/898 is 490221396.

LCM(661/347, 972/769, 763/898) = 490221396

LCM of 661/347, 972/769, 763/898

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 661/347,972/769,763/898

Given numbers are 661/347,972/769,763/898

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 661,972,763

Least Common Multiple of Numerators i.e. LCM of 661,972,763 is 490221396.

GCF of Denominators means GCF of 347,769,898 as per the given fractions.

GCF of 347,769,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,972,763

LCM of Fractions 661/347,972/769,763/898 is 490221396

Given numbers has no common factors except 1. So, there LCM is their product i.e 490221396

Least Common Multiple of 661,972,763 with GCF Formula

Least Common Multiple of 661,972,763 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 661,972,763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,972,763) = 1

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

GCF(661,972,763) x common factors =1 x 1 = 1

LCM(661,972,763) = ( 661 × 972 × 763 ) / 1

LCM(661,972,763) = 490221396 / 1

LCM(661,972,763) = 490221396


Lets's calculate GCF of 347,769,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490221396/1

Therefore the LCM of Fractions 661/347,972/769,763/898 is 490221396

Greatest Common Factor of 347,769,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,769,898 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 347,769,898 . The biggest common factor number is the GCF number.
So the greatest common factor 347,769,898 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 661/347, 972/769, 763/898

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 661/347, 972/769, 763/898?

Answer: LCM of Numerators as per given numbers 661/347, 972/769, 763/898 is

LCM of Numerators i.e. for 661,972,763 is 490221396

GCF of denominators i.e. for 347,769,898 is 1.

Thus, LCM of Fractions is 490221396.Finally, LCM of Fractions for 661/347, 972/769, 763/898 is 490221396.