Least Common Multiple of 90/415, 528/513, 293/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/415, 528/513, 293/618 quickly i.e. 2320560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/415, 528/513, 293/618 is 2320560.

LCM(90/415, 528/513, 293/618) = 2320560

LCM of 90/415, 528/513, 293/618

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 90/415,528/513,293/618

Given numbers are 90/415,528/513,293/618

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 90,528,293

Least Common Multiple of Numerators i.e. LCM of 90,528,293 is 2320560.

GCF of Denominators means GCF of 415,513,618 as per the given fractions.

GCF of 415,513,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,528,293

LCM of Fractions 90/415,528/513,293/618 is 2320560

2 90, 528, 293
3 45, 264, 293
15, 88, 293

∴ So the LCM of the given numbers is 2 x 3 x 15 x 88 x 293 = 2320560

Least Common Multiple of 90,528,293 with GCF Formula

Least Common Multiple of 90,528,293 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 90,528,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,528,293) = 1

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

GCF(90,528,293) x common factors =1 x 6 = 6

LCM(90,528,293) = ( 90 × 528 × 293 ) / 6

LCM(90,528,293) = 13923360 / 6

LCM(90,528,293) = 2320560


Lets's calculate GCF of 415,513,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2320560/1

Therefore the LCM of Fractions 90/415,528/513,293/618 is 2320560

Greatest Common Factor of 415,513,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,513,618 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 415,513,618 . The biggest common factor number is the GCF number.
So the greatest common factor 415,513,618 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 90/415, 528/513, 293/618

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 90/415, 528/513, 293/618?

Answer: LCM of Numerators as per given numbers 90/415, 528/513, 293/618 is

LCM of Numerators i.e. for 90,528,293 is 2320560

GCF of denominators i.e. for 415,513,618 is 1.

Thus, LCM of Fractions is 2320560.Finally, LCM of Fractions for 90/415, 528/513, 293/618 is 2320560.