Least Common Multiple of 142/329, 977/977, 327/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 142/329, 977/977, 327/173 quickly i.e. 45366018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/329, 977/977, 327/173 is 45366018.

LCM(142/329, 977/977, 327/173) = 45366018

LCM of 142/329, 977/977, 327/173

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 142/329,977/977,327/173

Given numbers are 142/329,977/977,327/173

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 142,977,327

Least Common Multiple of Numerators i.e. LCM of 142,977,327 is 45366018.

GCF of Denominators means GCF of 329,977,173 as per the given fractions.

GCF of 329,977,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,977,327

LCM of Fractions 142/329,977/977,327/173 is 45366018

Given numbers has no common factors except 1. So, there LCM is their product i.e 45366018

Least Common Multiple of 142,977,327 with GCF Formula

Least Common Multiple of 142,977,327 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 142,977,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,977,327) = 1

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

GCF(142,977,327) x common factors =1 x 1 = 1

LCM(142,977,327) = ( 142 × 977 × 327 ) / 1

LCM(142,977,327) = 45366018 / 1

LCM(142,977,327) = 45366018


Lets's calculate GCF of 329,977,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45366018/1

Therefore the LCM of Fractions 142/329,977/977,327/173 is 45366018

Greatest Common Factor of 329,977,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,977,173 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 329,977,173 . The biggest common factor number is the GCF number.
So the greatest common factor 329,977,173 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 142/329, 977/977, 327/173

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 142/329, 977/977, 327/173?

Answer: LCM of Numerators as per given numbers 142/329, 977/977, 327/173 is

LCM of Numerators i.e. for 142,977,327 is 45366018

GCF of denominators i.e. for 329,977,173 is 1.

Thus, LCM of Fractions is 45366018.Finally, LCM of Fractions for 142/329, 977/977, 327/173 is 45366018.