Least Common Multiple of 90/948, 712/572, 465/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/948, 712/572, 465/342 quickly i.e. 496620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/948, 712/572, 465/342 is 496620.

LCM(90/948, 712/572, 465/342) = 496620

LCM of 90/948, 712/572, 465/342

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 90/948,712/572,465/342

Given numbers are 90/948,712/572,465/342

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 90,712,465

Least Common Multiple of Numerators i.e. LCM of 90,712,465 is 993240.

GCF of Denominators means GCF of 948,572,342 as per the given fractions.

GCF of 948,572,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,712,465

LCM of Fractions 90/948,712/572,465/342 is 496620

2 90, 712, 465
3 45, 356, 465
5 15, 356, 155
3, 356, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 356 x 31 = 993240

Least Common Multiple of 90,712,465 with GCF Formula

Least Common Multiple of 90,712,465 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 90,712,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,712,465) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(90,712,465) x common factors =1 x 30 = 30

LCM(90,712,465) = ( 90 × 712 × 465 ) / 30

LCM(90,712,465) = 29797200 / 30

LCM(90,712,465) = 993240


Lets's calculate GCF of 948,572,342

2 948, 572, 342
474, 286, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 993240/2

Therefore the LCM of Fractions 90/948,712/572,465/342 is 496620

Greatest Common Factor of 948,572,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,572,342 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 948,572,342 . The biggest common factor number is the GCF number.
So the greatest common factor 948,572,342 is 2.


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 90/948, 712/572, 465/342

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 90/948, 712/572, 465/342?

Answer: LCM of Numerators as per given numbers 90/948, 712/572, 465/342 is

LCM of Numerators i.e. for 90,712,465 is 993240

GCF of denominators i.e. for 948,572,342 is 2.

Thus, LCM of Fractions is 496620.Finally, LCM of Fractions for 90/948, 712/572, 465/342 is 496620.