Least Common Multiple of 8235/744, 4964/5419

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8235/744, 4964/5419 quickly i.e. 40878540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8235/744, 4964/5419 is 40878540.

LCM(8235/744, 4964/5419) = 40878540

LCM of 8235/744, 4964/5419

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 8235/744,4964/5419

Given numbers are 8235/744,4964/5419

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 8235,4964

Least Common Multiple of Numerators i.e. LCM of 8235,4964 is 40878540.

GCF of Denominators means GCF of 744,5419 as per the given fractions.

GCF of 744,5419 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8235,4964

LCM of Fractions 8235/744,4964/5419 is 40878540

Given numbers has no common factors except 1. So, there LCM is their product i.e 40878540

Least Common Multiple of 8235,4964 with GCF Formula

Least Common Multiple of 8235,4964 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 8235,4964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8235,4964) = 1

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

GCF(8235,4964) x common factors =1 x 1 = 1

LCM(8235,4964) = ( 8235 × 4964 ) / 1

LCM(8235,4964) = 40878540 / 1

LCM(8235,4964) = 40878540


Lets's calculate GCF of 744,5419

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40878540/1

Therefore the LCM of Fractions 8235/744,4964/5419 is 40878540

Greatest Common Factor of 744,5419 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,5419 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 5419

List of positive integer factors of 5419 that divides 5419 without a remainder.

1,5419

Greatest Common Factor

We found the factors 744,5419 . The biggest common factor number is the GCF number.
So the greatest common factor 744,5419 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 8235/744, 4964/5419

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 8235/744, 4964/5419?

Answer: LCM of Numerators as per given numbers 8235/744, 4964/5419 is

LCM of Numerators i.e. for 8235,4964 is 40878540

GCF of denominators i.e. for 744,5419 is 1.

Thus, LCM of Fractions is 40878540.Finally, LCM of Fractions for 8235/744, 4964/5419 is 40878540.