Least Common Multiple of 90/89, 93/95, 52/62, 53/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 90/89, 93/95, 52/62, 53/420 quickly i.e. 3844620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/89, 93/95, 52/62, 53/420 is 3844620.

LCM(90/89, 93/95, 52/62, 53/420) = 3844620

LCM of 90/89, 93/95, 52/62, 53/420

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 90/89,93/95,52/62,53/420

Given numbers are 90/89,93/95,52/62,53/420

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 90,93,52,53

Least Common Multiple of Numerators i.e. LCM of 90,93,52,53 is 3844620.

GCF of Denominators means GCF of 89,95,62,420 as per the given fractions.

GCF of 89,95,62,420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,93,52,53

LCM of Fractions 90/89,93/95,52/62,53/420 is 3844620

2 90, 93, 52, 53
3 45, 93, 26, 53
15, 31, 26, 53

∴ So the LCM of the given numbers is 2 x 3 x 15 x 31 x 26 x 53 = 3844620

Least Common Multiple of 90,93,52,53 with GCF Formula

Least Common Multiple of 90,93,52,53 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 90,93,52,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,93,52,53) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(90,93,52,53) x common factors =1 x 6 = 6

LCM(90,93,52,53) = ( 90 × 93 × 52 × 53 ) / 6

LCM(90,93,52,53) = 23067720 / 6

LCM(90,93,52,53) = 3844620


Lets's calculate GCF of 89,95,62,420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3844620/1

Therefore the LCM of Fractions 90/89,93/95,52/62,53/420 is 3844620

Greatest Common Factor of 89,95,62,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,95,62,420 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 89,95,62,420 . The biggest common factor number is the GCF number.
So the greatest common factor 89,95,62,420 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 90/89, 93/95, 52/62, 53/420

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 90/89, 93/95, 52/62, 53/420?

Answer: LCM of Numerators as per given numbers 90/89, 93/95, 52/62, 53/420 is

LCM of Numerators i.e. for 90,93,52,53 is 3844620

GCF of denominators i.e. for 89,95,62,420 is 1.

Thus, LCM of Fractions is 3844620.Finally, LCM of Fractions for 90/89, 93/95, 52/62, 53/420 is 3844620.