Least Common Multiple of 90/74, 533/21, 689/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/74, 533/21, 689/548 quickly i.e. 2542410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/74, 533/21, 689/548 is 2542410.

LCM(90/74, 533/21, 689/548) = 2542410

LCM of 90/74, 533/21, 689/548

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 90/74,533/21,689/548

Given numbers are 90/74,533/21,689/548

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 90,533,689

Least Common Multiple of Numerators i.e. LCM of 90,533,689 is 2542410.

GCF of Denominators means GCF of 74,21,548 as per the given fractions.

GCF of 74,21,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,533,689

LCM of Fractions 90/74,533/21,689/548 is 2542410

13 90, 533, 689
90, 41, 53

∴ So the LCM of the given numbers is 13 x 90 x 41 x 53 = 2542410

Least Common Multiple of 90,533,689 with GCF Formula

Least Common Multiple of 90,533,689 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 90,533,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,533,689) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(90,533,689) x common factors =1 x 13 = 13

LCM(90,533,689) = ( 90 × 533 × 689 ) / 13

LCM(90,533,689) = 33051330 / 13

LCM(90,533,689) = 2542410


Lets's calculate GCF of 74,21,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2542410/1

Therefore the LCM of Fractions 90/74,533/21,689/548 is 2542410

Greatest Common Factor of 74,21,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,21,548 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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 74,21,548 . The biggest common factor number is the GCF number.
So the greatest common factor 74,21,548 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 90/74, 533/21, 689/548

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 90/74, 533/21, 689/548?

Answer: LCM of Numerators as per given numbers 90/74, 533/21, 689/548 is

LCM of Numerators i.e. for 90,533,689 is 2542410

GCF of denominators i.e. for 74,21,548 is 1.

Thus, LCM of Fractions is 2542410.Finally, LCM of Fractions for 90/74, 533/21, 689/548 is 2542410.