Least Common Multiple of 77/456, 9351/3544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/456, 9351/3544 quickly i.e. 720027/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/456, 9351/3544 is 720027/8.

LCM(77/456, 9351/3544) = 720027/8

LCM of 77/456, 9351/3544

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 77/456,9351/3544

Given numbers are 77/456,9351/3544

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 77,9351

Least Common Multiple of Numerators i.e. LCM of 77,9351 is 720027.

GCF of Denominators means GCF of 456,3544 as per the given fractions.

GCF of 456,3544 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,9351

LCM of Fractions 77/456,9351/3544 is 720027/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 720027

Least Common Multiple of 77,9351 with GCF Formula

Least Common Multiple of 77,9351 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 77,9351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,9351) = 1

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

GCF(77,9351) x common factors =1 x 1 = 1

LCM(77,9351) = ( 77 × 9351 ) / 1

LCM(77,9351) = 720027 / 1

LCM(77,9351) = 720027


Lets's calculate GCF of 456,3544

2 456, 3544
2 228, 1772
2 114, 886
57, 443

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720027/8

Therefore the LCM of Fractions 77/456,9351/3544 is 720027/8

Greatest Common Factor of 456,3544 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,3544 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1,2,4,8,443,886,1772,3544

Greatest Common Factor

We found the factors 456,3544 . The biggest common factor number is the GCF number.
So the greatest common factor 456,3544 is 8.


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 77/456, 9351/3544

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 77/456, 9351/3544?

Answer: LCM of Numerators as per given numbers 77/456, 9351/3544 is

LCM of Numerators i.e. for 77,9351 is 720027

GCF of denominators i.e. for 456,3544 is 8.

Thus, LCM of Fractions is 720027/8.Finally, LCM of Fractions for 77/456, 9351/3544 is 720027/8.