Least Common Multiple of 211/616, 1776/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 211/616, 1776/561 quickly i.e. 374736/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 211/616, 1776/561 is 374736/11.

LCM(211/616, 1776/561) = 374736/11

LCM of 211/616, 1776/561

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 211/616,1776/561

Given numbers are 211/616,1776/561

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 211,1776

Least Common Multiple of Numerators i.e. LCM of 211,1776 is 374736.

GCF of Denominators means GCF of 616,561 as per the given fractions.

GCF of 616,561 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 211,1776

LCM of Fractions 211/616,1776/561 is 374736/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 374736

Least Common Multiple of 211,1776 with GCF Formula

Least Common Multiple of 211,1776 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 211,1776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,1776) = 1

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

GCF(211,1776) x common factors =1 x 1 = 1

LCM(211,1776) = ( 211 × 1776 ) / 1

LCM(211,1776) = 374736 / 1

LCM(211,1776) = 374736


Lets's calculate GCF of 616,561

11 616, 561
56, 51

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374736/11

Therefore the LCM of Fractions 211/616,1776/561 is 374736/11

Greatest Common Factor of 616,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,561 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 616,561 . The biggest common factor number is the GCF number.
So the greatest common factor 616,561 is 11.


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 211/616, 1776/561

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 211/616, 1776/561?

Answer: LCM of Numerators as per given numbers 211/616, 1776/561 is

LCM of Numerators i.e. for 211,1776 is 374736

GCF of denominators i.e. for 616,561 is 11.

Thus, LCM of Fractions is 374736/11.Finally, LCM of Fractions for 211/616, 1776/561 is 374736/11.