Least Common Multiple of 74/90, 60/57, 60/16, 64/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/90, 60/57, 60/16, 64/988 quickly i.e. 35520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/90, 60/57, 60/16, 64/988 is 35520.

LCM(74/90, 60/57, 60/16, 64/988) = 35520

LCM of 74/90, 60/57, 60/16, 64/988

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 74/90,60/57,60/16,64/988

Given numbers are 74/90,60/57,60/16,64/988

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 74,60,60,64

Least Common Multiple of Numerators i.e. LCM of 74,60,60,64 is 35520.

GCF of Denominators means GCF of 90,57,16,988 as per the given fractions.

GCF of 90,57,16,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,60,60,64

LCM of Fractions 74/90,60/57,60/16,64/988 is 35520

2 74, 60, 60, 64
2 37, 30, 30, 32
3 37, 15, 15, 16
5 37, 5, 5, 16
37, 1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 37 x 1 x 1 x 16 = 35520

Least Common Multiple of 74,60,60,64 with GCF Formula

Least Common Multiple of 74,60,60,64 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 74,60,60,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,60,60,64) = 2

common factors(in case of two or more numbers have common factors) = 240

GCF(74,60,60,64) x common factors =2 x 240 = 480

LCM(74,60,60,64) = ( 74 × 60 × 60 × 64 ) / 480

LCM(74,60,60,64) = 17049600 / 480

LCM(74,60,60,64) = 35520


Lets's calculate GCF of 90,57,16,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35520/1

Therefore the LCM of Fractions 74/90,60/57,60/16,64/988 is 35520

Greatest Common Factor of 90,57,16,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,57,16,988 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 90,57,16,988 . The biggest common factor number is the GCF number.
So the greatest common factor 90,57,16,988 is 1.


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 74/90, 60/57, 60/16, 64/988

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 74/90, 60/57, 60/16, 64/988?

Answer: LCM of Numerators as per given numbers 74/90, 60/57, 60/16, 64/988 is

LCM of Numerators i.e. for 74,60,60,64 is 35520

GCF of denominators i.e. for 90,57,16,988 is 1.

Thus, LCM of Fractions is 35520.Finally, LCM of Fractions for 74/90, 60/57, 60/16, 64/988 is 35520.