Least Common Multiple of 85/63, 60/49, 96/53, 90/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/63, 60/49, 96/53, 90/353 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/63, 60/49, 96/53, 90/353 is 24480.

LCM(85/63, 60/49, 96/53, 90/353) = 24480

LCM of 85/63, 60/49, 96/53, 90/353

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 85/63,60/49,96/53,90/353

Given numbers are 85/63,60/49,96/53,90/353

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 85,60,96,90

Least Common Multiple of Numerators i.e. LCM of 85,60,96,90 is 24480.

GCF of Denominators means GCF of 63,49,53,353 as per the given fractions.

GCF of 63,49,53,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,60,96,90

LCM of Fractions 85/63,60/49,96/53,90/353 is 24480

2 85, 60, 96, 90
2 85, 30, 48, 45
3 85, 15, 24, 45
5 85, 5, 8, 15
17, 1, 8, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 17 x 1 x 8 x 3 = 24480

Least Common Multiple of 85,60,96,90 with GCF Formula

Least Common Multiple of 85,60,96,90 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 85,60,96,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,60,96,90) = 1

common factors(in case of two or more numbers have common factors) = 1800

GCF(85,60,96,90) x common factors =1 x 1800 = 1800

LCM(85,60,96,90) = ( 85 × 60 × 96 × 90 ) / 1800

LCM(85,60,96,90) = 44064000 / 1800

LCM(85,60,96,90) = 24480


Lets's calculate GCF of 63,49,53,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1

Therefore the LCM of Fractions 85/63,60/49,96/53,90/353 is 24480

Greatest Common Factor of 63,49,53,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,49,53,353 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 63,49,53,353 . The biggest common factor number is the GCF number.
So the greatest common factor 63,49,53,353 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 85/63, 60/49, 96/53, 90/353

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 85/63, 60/49, 96/53, 90/353?

Answer: LCM of Numerators as per given numbers 85/63, 60/49, 96/53, 90/353 is

LCM of Numerators i.e. for 85,60,96,90 is 24480

GCF of denominators i.e. for 63,49,53,353 is 1.

Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 85/63, 60/49, 96/53, 90/353 is 24480.