Least Common Multiple of 56/144, 1811/8415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/144, 1811/8415 quickly i.e. 101416/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/144, 1811/8415 is 101416/9.

LCM(56/144, 1811/8415) = 101416/9

LCM of 56/144, 1811/8415

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 56/144,1811/8415

Given numbers are 56/144,1811/8415

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 56,1811

Least Common Multiple of Numerators i.e. LCM of 56,1811 is 101416.

GCF of Denominators means GCF of 144,8415 as per the given fractions.

GCF of 144,8415 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,1811

LCM of Fractions 56/144,1811/8415 is 101416/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 101416

Least Common Multiple of 56,1811 with GCF Formula

Least Common Multiple of 56,1811 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 56,1811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,1811) = 1

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

GCF(56,1811) x common factors =1 x 1 = 1

LCM(56,1811) = ( 56 × 1811 ) / 1

LCM(56,1811) = 101416 / 1

LCM(56,1811) = 101416


Lets's calculate GCF of 144,8415

3 144, 8415
3 48, 2805
16, 935

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101416/9

Therefore the LCM of Fractions 56/144,1811/8415 is 101416/9

Greatest Common Factor of 144,8415 By Matching Biggest Common Factor Method

Greatest Common Factor of 144,8415 By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 8415

List of positive integer factors of 8415 that divides 8415 without a remainder.

1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415

Greatest Common Factor

We found the factors 144,8415 . The biggest common factor number is the GCF number.
So the greatest common factor 144,8415 is 9.


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 56/144, 1811/8415

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 56/144, 1811/8415?

Answer: LCM of Numerators as per given numbers 56/144, 1811/8415 is

LCM of Numerators i.e. for 56,1811 is 101416

GCF of denominators i.e. for 144,8415 is 9.

Thus, LCM of Fractions is 101416/9.Finally, LCM of Fractions for 56/144, 1811/8415 is 101416/9.