Least Common Multiple of 90/306, 38/157, 528/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/306, 38/157, 528/805 quickly i.e. 150480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/306, 38/157, 528/805 is 150480.

LCM(90/306, 38/157, 528/805) = 150480

LCM of 90/306, 38/157, 528/805

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 90/306,38/157,528/805

Given numbers are 90/306,38/157,528/805

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 90,38,528

Least Common Multiple of Numerators i.e. LCM of 90,38,528 is 150480.

GCF of Denominators means GCF of 306,157,805 as per the given fractions.

GCF of 306,157,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,38,528

LCM of Fractions 90/306,38/157,528/805 is 150480

2 90, 38, 528
3 45, 19, 264
15, 19, 88

∴ So the LCM of the given numbers is 2 x 3 x 15 x 19 x 88 = 150480

Least Common Multiple of 90,38,528 with GCF Formula

Least Common Multiple of 90,38,528 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 90,38,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,38,528) = 2

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

GCF(90,38,528) x common factors =2 x 6 = 12

LCM(90,38,528) = ( 90 × 38 × 528 ) / 12

LCM(90,38,528) = 1805760 / 12

LCM(90,38,528) = 150480


Lets's calculate GCF of 306,157,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150480/1

Therefore the LCM of Fractions 90/306,38/157,528/805 is 150480

Greatest Common Factor of 306,157,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,157,805 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 306,157,805 . The biggest common factor number is the GCF number.
So the greatest common factor 306,157,805 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 90/306, 38/157, 528/805

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 90/306, 38/157, 528/805?

Answer: LCM of Numerators as per given numbers 90/306, 38/157, 528/805 is

LCM of Numerators i.e. for 90,38,528 is 150480

GCF of denominators i.e. for 306,157,805 is 1.

Thus, LCM of Fractions is 150480.Finally, LCM of Fractions for 90/306, 38/157, 528/805 is 150480.