Least Common Multiple of 467/90, 528/38, 239/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 467/90, 528/38, 239/969 quickly i.e. 58931664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 467/90, 528/38, 239/969 is 58931664.

LCM(467/90, 528/38, 239/969) = 58931664

LCM of 467/90, 528/38, 239/969

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 467/90,528/38,239/969

Given numbers are 467/90,528/38,239/969

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 467,528,239

Least Common Multiple of Numerators i.e. LCM of 467,528,239 is 58931664.

GCF of Denominators means GCF of 90,38,969 as per the given fractions.

GCF of 90,38,969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 467,528,239

LCM of Fractions 467/90,528/38,239/969 is 58931664

Given numbers has no common factors except 1. So, there LCM is their product i.e 58931664

Least Common Multiple of 467,528,239 with GCF Formula

Least Common Multiple of 467,528,239 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 467,528,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,528,239) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(467,528,239) x common factors =1 x 1 = 1

LCM(467,528,239) = ( 467 × 528 × 239 ) / 1

LCM(467,528,239) = 58931664 / 1

LCM(467,528,239) = 58931664


Lets's calculate GCF of 90,38,969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58931664/1

Therefore the LCM of Fractions 467/90,528/38,239/969 is 58931664

Greatest Common Factor of 90,38,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,38,969 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 90,38,969 . The biggest common factor number is the GCF number.
So the greatest common factor 90,38,969 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 467/90, 528/38, 239/969

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 467/90, 528/38, 239/969?

Answer: LCM of Numerators as per given numbers 467/90, 528/38, 239/969 is

LCM of Numerators i.e. for 467,528,239 is 58931664

GCF of denominators i.e. for 90,38,969 is 1.

Thus, LCM of Fractions is 58931664.Finally, LCM of Fractions for 467/90, 528/38, 239/969 is 58931664.