Least Common Multiple of 254/30, 804/76, 468/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 254/30, 804/76, 468/762 quickly i.e. 1991106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 254/30, 804/76, 468/762 is 1991106.

LCM(254/30, 804/76, 468/762) = 1991106

LCM of 254/30, 804/76, 468/762

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 254/30,804/76,468/762

Given numbers are 254/30,804/76,468/762

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 254,804,468

Least Common Multiple of Numerators i.e. LCM of 254,804,468 is 3982212.

GCF of Denominators means GCF of 30,76,762 as per the given fractions.

GCF of 30,76,762 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 254,804,468

LCM of Fractions 254/30,804/76,468/762 is 1991106

2 254, 804, 468
2 127, 402, 234
3 127, 201, 117
127, 67, 39

∴ So the LCM of the given numbers is 2 x 2 x 3 x 127 x 67 x 39 = 3982212

Least Common Multiple of 254,804,468 with GCF Formula

Least Common Multiple of 254,804,468 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 254,804,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,804,468) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(254,804,468) x common factors =2 x 12 = 24

LCM(254,804,468) = ( 254 × 804 × 468 ) / 24

LCM(254,804,468) = 95573088 / 24

LCM(254,804,468) = 3982212


Lets's calculate GCF of 30,76,762

2 30, 76, 762
15, 38, 381

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3982212/2

Therefore the LCM of Fractions 254/30,804/76,468/762 is 1991106

Greatest Common Factor of 30,76,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,76,762 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 30,76,762 . The biggest common factor number is the GCF number.
So the greatest common factor 30,76,762 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 254/30, 804/76, 468/762

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 254/30, 804/76, 468/762?

Answer: LCM of Numerators as per given numbers 254/30, 804/76, 468/762 is

LCM of Numerators i.e. for 254,804,468 is 3982212

GCF of denominators i.e. for 30,76,762 is 2.

Thus, LCM of Fractions is 1991106.Finally, LCM of Fractions for 254/30, 804/76, 468/762 is 1991106.