Least Common Multiple of 945/10, 653/51, 977/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 945/10, 653/51, 977/661 quickly i.e. 602892045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/10, 653/51, 977/661 is 602892045.

LCM(945/10, 653/51, 977/661) = 602892045

LCM of 945/10, 653/51, 977/661

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 945/10,653/51,977/661

Given numbers are 945/10,653/51,977/661

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 945,653,977

Least Common Multiple of Numerators i.e. LCM of 945,653,977 is 602892045.

GCF of Denominators means GCF of 10,51,661 as per the given fractions.

GCF of 10,51,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,653,977

LCM of Fractions 945/10,653/51,977/661 is 602892045

Given numbers has no common factors except 1. So, there LCM is their product i.e 602892045

Least Common Multiple of 945,653,977 with GCF Formula

Least Common Multiple of 945,653,977 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 945,653,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,653,977) = 1

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

GCF(945,653,977) x common factors =1 x 1 = 1

LCM(945,653,977) = ( 945 × 653 × 977 ) / 1

LCM(945,653,977) = 602892045 / 1

LCM(945,653,977) = 602892045


Lets's calculate GCF of 10,51,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 602892045/1

Therefore the LCM of Fractions 945/10,653/51,977/661 is 602892045

Greatest Common Factor of 10,51,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,51,661 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 661

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

1,661

Greatest Common Factor

We found the factors 10,51,661 . The biggest common factor number is the GCF number.
So the greatest common factor 10,51,661 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 945/10, 653/51, 977/661

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 945/10, 653/51, 977/661?

Answer: LCM of Numerators as per given numbers 945/10, 653/51, 977/661 is

LCM of Numerators i.e. for 945,653,977 is 602892045

GCF of denominators i.e. for 10,51,661 is 1.

Thus, LCM of Fractions is 602892045.Finally, LCM of Fractions for 945/10, 653/51, 977/661 is 602892045.