Least Common Multiple of 90/60, 37/74, 54/72, 63/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/60, 37/74, 54/72, 63/533 quickly i.e. 69930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/60, 37/74, 54/72, 63/533 is 69930.

LCM(90/60, 37/74, 54/72, 63/533) = 69930

LCM of 90/60, 37/74, 54/72, 63/533

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 90/60,37/74,54/72,63/533

Given numbers are 90/60,37/74,54/72,63/533

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 90,37,54,63

Least Common Multiple of Numerators i.e. LCM of 90,37,54,63 is 69930.

GCF of Denominators means GCF of 60,74,72,533 as per the given fractions.

GCF of 60,74,72,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,37,54,63

LCM of Fractions 90/60,37/74,54/72,63/533 is 69930

2 90, 37, 54, 63
3 45, 37, 27, 63
3 15, 37, 9, 21
5, 37, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 37 x 3 x 7 = 69930

Least Common Multiple of 90,37,54,63 with GCF Formula

Least Common Multiple of 90,37,54,63 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 90,37,54,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,37,54,63) = 1

common factors(in case of two or more numbers have common factors) = 162

GCF(90,37,54,63) x common factors =1 x 162 = 162

LCM(90,37,54,63) = ( 90 × 37 × 54 × 63 ) / 162

LCM(90,37,54,63) = 11328660 / 162

LCM(90,37,54,63) = 69930


Lets's calculate GCF of 60,74,72,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69930/1

Therefore the LCM of Fractions 90/60,37/74,54/72,63/533 is 69930

Greatest Common Factor of 60,74,72,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,74,72,533 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 74

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

1,2,37,74

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 60,74,72,533 . The biggest common factor number is the GCF number.
So the greatest common factor 60,74,72,533 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/60, 37/74, 54/72, 63/533

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 90/60, 37/74, 54/72, 63/533?

Answer: LCM of Numerators as per given numbers 90/60, 37/74, 54/72, 63/533 is

LCM of Numerators i.e. for 90,37,54,63 is 69930

GCF of denominators i.e. for 60,74,72,533 is 1.

Thus, LCM of Fractions is 69930.Finally, LCM of Fractions for 90/60, 37/74, 54/72, 63/533 is 69930.