Least Common Multiple of 217/56, 796/1477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 217/56, 796/1477 quickly i.e. 24676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 217/56, 796/1477 is 24676.

LCM(217/56, 796/1477) = 24676

LCM of 217/56, 796/1477

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 217/56,796/1477

Given numbers are 217/56,796/1477

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 217,796

Least Common Multiple of Numerators i.e. LCM of 217,796 is 172732.

GCF of Denominators means GCF of 56,1477 as per the given fractions.

GCF of 56,1477 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 217,796

LCM of Fractions 217/56,796/1477 is 24676

Given numbers has no common factors except 1. So, there LCM is their product i.e 172732

Least Common Multiple of 217,796 with GCF Formula

Least Common Multiple of 217,796 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 217,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(217,796) = 1

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

GCF(217,796) x common factors =1 x 1 = 1

LCM(217,796) = ( 217 × 796 ) / 1

LCM(217,796) = 172732 / 1

LCM(217,796) = 172732


Lets's calculate GCF of 56,1477

7 56, 1477
8, 211

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172732/7

Therefore the LCM of Fractions 217/56,796/1477 is 24676

Greatest Common Factor of 56,1477 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,1477 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 1477

List of positive integer factors of 1477 that divides 1477 without a remainder.

1,7,211,1477

Greatest Common Factor

We found the factors 56,1477 . The biggest common factor number is the GCF number.
So the greatest common factor 56,1477 is 7.


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 217/56, 796/1477

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 217/56, 796/1477?

Answer: LCM of Numerators as per given numbers 217/56, 796/1477 is

LCM of Numerators i.e. for 217,796 is 172732

GCF of denominators i.e. for 56,1477 is 7.

Thus, LCM of Fractions is 24676.Finally, LCM of Fractions for 217/56, 796/1477 is 24676.