Least Common Multiple of 1521/254, 4978/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1521/254, 4978/845 quickly i.e. 7571538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1521/254, 4978/845 is 7571538.

LCM(1521/254, 4978/845) = 7571538

LCM of 1521/254, 4978/845

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 1521/254,4978/845

Given numbers are 1521/254,4978/845

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 1521,4978

Least Common Multiple of Numerators i.e. LCM of 1521,4978 is 7571538.

GCF of Denominators means GCF of 254,845 as per the given fractions.

GCF of 254,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1521,4978

LCM of Fractions 1521/254,4978/845 is 7571538

Given numbers has no common factors except 1. So, there LCM is their product i.e 7571538

Least Common Multiple of 1521,4978 with GCF Formula

Least Common Multiple of 1521,4978 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 1521,4978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1521,4978) = 1

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

GCF(1521,4978) x common factors =1 x 1 = 1

LCM(1521,4978) = ( 1521 × 4978 ) / 1

LCM(1521,4978) = 7571538 / 1

LCM(1521,4978) = 7571538


Lets's calculate GCF of 254,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7571538/1

Therefore the LCM of Fractions 1521/254,4978/845 is 7571538

Greatest Common Factor of 254,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,845 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 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 254,845 . The biggest common factor number is the GCF number.
So the greatest common factor 254,845 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 1521/254, 4978/845

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 1521/254, 4978/845?

Answer: LCM of Numerators as per given numbers 1521/254, 4978/845 is

LCM of Numerators i.e. for 1521,4978 is 7571538

GCF of denominators i.e. for 254,845 is 1.

Thus, LCM of Fractions is 7571538.Finally, LCM of Fractions for 1521/254, 4978/845 is 7571538.