Least Common Multiple of 988/74, 402/42, 985/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 988/74, 402/42, 985/132 quickly i.e. 97804590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 988/74, 402/42, 985/132 is 97804590.

LCM(988/74, 402/42, 985/132) = 97804590

LCM of 988/74, 402/42, 985/132

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 988/74,402/42,985/132

Given numbers are 988/74,402/42,985/132

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 988,402,985

Least Common Multiple of Numerators i.e. LCM of 988,402,985 is 195609180.

GCF of Denominators means GCF of 74,42,132 as per the given fractions.

GCF of 74,42,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 988,402,985

LCM of Fractions 988/74,402/42,985/132 is 97804590

2 988, 402, 985
494, 201, 985

∴ So the LCM of the given numbers is 2 x 494 x 201 x 985 = 195609180

Least Common Multiple of 988,402,985 with GCF Formula

Least Common Multiple of 988,402,985 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 988,402,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(988,402,985) = 1

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

GCF(988,402,985) x common factors =1 x 2 = 2

LCM(988,402,985) = ( 988 × 402 × 985 ) / 2

LCM(988,402,985) = 391218360 / 2

LCM(988,402,985) = 195609180


Lets's calculate GCF of 74,42,132

2 74, 42, 132
37, 21, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195609180/2

Therefore the LCM of Fractions 988/74,402/42,985/132 is 97804590

Greatest Common Factor of 74,42,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,42,132 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 74,42,132 . The biggest common factor number is the GCF number.
So the greatest common factor 74,42,132 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 988/74, 402/42, 985/132

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 988/74, 402/42, 985/132?

Answer: LCM of Numerators as per given numbers 988/74, 402/42, 985/132 is

LCM of Numerators i.e. for 988,402,985 is 195609180

GCF of denominators i.e. for 74,42,132 is 2.

Thus, LCM of Fractions is 97804590.Finally, LCM of Fractions for 988/74, 402/42, 985/132 is 97804590.