Least Common Multiple of 54/296, 29/528, 980/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/296, 29/528, 980/142 quickly i.e. 383670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/296, 29/528, 980/142 is 383670.

LCM(54/296, 29/528, 980/142) = 383670

LCM of 54/296, 29/528, 980/142

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 54/296,29/528,980/142

Given numbers are 54/296,29/528,980/142

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 54,29,980

Least Common Multiple of Numerators i.e. LCM of 54,29,980 is 767340.

GCF of Denominators means GCF of 296,528,142 as per the given fractions.

GCF of 296,528,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,29,980

LCM of Fractions 54/296,29/528,980/142 is 383670

2 54, 29, 980
27, 29, 490

∴ So the LCM of the given numbers is 2 x 27 x 29 x 490 = 767340

Least Common Multiple of 54,29,980 with GCF Formula

Least Common Multiple of 54,29,980 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 54,29,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,29,980) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,29,980) x common factors =1 x 2 = 2

LCM(54,29,980) = ( 54 × 29 × 980 ) / 2

LCM(54,29,980) = 1534680 / 2

LCM(54,29,980) = 767340


Lets's calculate GCF of 296,528,142

2 296, 528, 142
148, 264, 71

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767340/2

Therefore the LCM of Fractions 54/296,29/528,980/142 is 383670

Greatest Common Factor of 296,528,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,528,142 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 296,528,142 . The biggest common factor number is the GCF number.
So the greatest common factor 296,528,142 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 54/296, 29/528, 980/142

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 54/296, 29/528, 980/142?

Answer: LCM of Numerators as per given numbers 54/296, 29/528, 980/142 is

LCM of Numerators i.e. for 54,29,980 is 767340

GCF of denominators i.e. for 296,528,142 is 2.

Thus, LCM of Fractions is 383670.Finally, LCM of Fractions for 54/296, 29/528, 980/142 is 383670.