Least Common Multiple of 56/159, 148/945, 237/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/159, 148/945, 237/155 quickly i.e. 491064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/159, 148/945, 237/155 is 491064.

LCM(56/159, 148/945, 237/155) = 491064

LCM of 56/159, 148/945, 237/155

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 56/159,148/945,237/155

Given numbers are 56/159,148/945,237/155

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 56,148,237

Least Common Multiple of Numerators i.e. LCM of 56,148,237 is 491064.

GCF of Denominators means GCF of 159,945,155 as per the given fractions.

GCF of 159,945,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,148,237

LCM of Fractions 56/159,148/945,237/155 is 491064

2 56, 148, 237
2 28, 74, 237
14, 37, 237

∴ So the LCM of the given numbers is 2 x 2 x 14 x 37 x 237 = 491064

Least Common Multiple of 56,148,237 with GCF Formula

Least Common Multiple of 56,148,237 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 56,148,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,148,237) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,148,237) x common factors =1 x 4 = 4

LCM(56,148,237) = ( 56 × 148 × 237 ) / 4

LCM(56,148,237) = 1964256 / 4

LCM(56,148,237) = 491064


Lets's calculate GCF of 159,945,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 491064/1

Therefore the LCM of Fractions 56/159,148/945,237/155 is 491064

Greatest Common Factor of 159,945,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,945,155 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 159,945,155 . The biggest common factor number is the GCF number.
So the greatest common factor 159,945,155 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 56/159, 148/945, 237/155

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 56/159, 148/945, 237/155?

Answer: LCM of Numerators as per given numbers 56/159, 148/945, 237/155 is

LCM of Numerators i.e. for 56,148,237 is 491064

GCF of denominators i.e. for 159,945,155 is 1.

Thus, LCM of Fractions is 491064.Finally, LCM of Fractions for 56/159, 148/945, 237/155 is 491064.