Least Common Multiple of 972/254, 4506/3814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/254, 4506/3814 quickly i.e. 364986 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/254, 4506/3814 is 364986.

LCM(972/254, 4506/3814) = 364986

LCM of 972/254, 4506/3814

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 972/254,4506/3814

Given numbers are 972/254,4506/3814

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 972,4506

Least Common Multiple of Numerators i.e. LCM of 972,4506 is 729972.

GCF of Denominators means GCF of 254,3814 as per the given fractions.

GCF of 254,3814 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,4506

LCM of Fractions 972/254,4506/3814 is 364986

2 972, 4506
3 486, 2253
162, 751

∴ So the LCM of the given numbers is 2 x 3 x 162 x 751 = 729972

Least Common Multiple of 972,4506 with GCF Formula

Least Common Multiple of 972,4506 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 972,4506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,4506) = 6

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

GCF(972,4506) x common factors =6 x 1 = 6

LCM(972,4506) = ( 972 × 4506 ) / 6

LCM(972,4506) = 4379832 / 6

LCM(972,4506) = 729972


Lets's calculate GCF of 254,3814

2 254, 3814
127, 1907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729972/2

Therefore the LCM of Fractions 972/254,4506/3814 is 364986

Greatest Common Factor of 254,3814 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,3814 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 3814

List of positive integer factors of 3814 that divides 3814 without a remainder.

1,2,1907,3814

Greatest Common Factor

We found the factors 254,3814 . The biggest common factor number is the GCF number.
So the greatest common factor 254,3814 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 972/254, 4506/3814

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 972/254, 4506/3814?

Answer: LCM of Numerators as per given numbers 972/254, 4506/3814 is

LCM of Numerators i.e. for 972,4506 is 729972

GCF of denominators i.e. for 254,3814 is 2.

Thus, LCM of Fractions is 364986.Finally, LCM of Fractions for 972/254, 4506/3814 is 364986.