Least Common Multiple of 761/11, 312/33, 887/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 761/11, 312/33, 887/418 quickly i.e. 210602184/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 761/11, 312/33, 887/418 is 210602184/11.

LCM(761/11, 312/33, 887/418) = 210602184/11

LCM of 761/11, 312/33, 887/418

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 761/11,312/33,887/418

Given numbers are 761/11,312/33,887/418

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 761,312,887

Least Common Multiple of Numerators i.e. LCM of 761,312,887 is 210602184.

GCF of Denominators means GCF of 11,33,418 as per the given fractions.

GCF of 11,33,418 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 761,312,887

LCM of Fractions 761/11,312/33,887/418 is 210602184/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 210602184

Least Common Multiple of 761,312,887 with GCF Formula

Least Common Multiple of 761,312,887 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 761,312,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,312,887) = 1

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

GCF(761,312,887) x common factors =1 x 1 = 1

LCM(761,312,887) = ( 761 × 312 × 887 ) / 1

LCM(761,312,887) = 210602184 / 1

LCM(761,312,887) = 210602184


Lets's calculate GCF of 11,33,418

11 11, 33, 418
1, 3, 38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210602184/11

Therefore the LCM of Fractions 761/11,312/33,887/418 is 210602184/11

Greatest Common Factor of 11,33,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,33,418 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 11,33,418 . The biggest common factor number is the GCF number.
So the greatest common factor 11,33,418 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 761/11, 312/33, 887/418

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 761/11, 312/33, 887/418?

Answer: LCM of Numerators as per given numbers 761/11, 312/33, 887/418 is

LCM of Numerators i.e. for 761,312,887 is 210602184

GCF of denominators i.e. for 11,33,418 is 11.

Thus, LCM of Fractions is 210602184/11.Finally, LCM of Fractions for 761/11, 312/33, 887/418 is 210602184/11.