Least Common Multiple of 77/341, 36/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 77/341, 36/899 quickly i.e. 2772/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/341, 36/899 is 2772/31.

LCM(77/341, 36/899) = 2772/31

LCM of 77/341, 36/899

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 77/341,36/899

Given numbers are 77/341,36/899

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 77,36

Least Common Multiple of Numerators i.e. LCM of 77,36 is 2772.

GCF of Denominators means GCF of 341,899 as per the given fractions.

GCF of 341,899 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,36

LCM of Fractions 77/341,36/899 is 2772/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 2772

Least Common Multiple of 77,36 with GCF Formula

Least Common Multiple of 77,36 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 77,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,36) = 1

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

GCF(77,36) x common factors =1 x 1 = 1

LCM(77,36) = ( 77 × 36 ) / 1

LCM(77,36) = 2772 / 1

LCM(77,36) = 2772


Lets's calculate GCF of 341,899

31 341, 899
11, 29

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772/31

Therefore the LCM of Fractions 77/341,36/899 is 2772/31

Greatest Common Factor of 341,899 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,899 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Greatest Common Factor

We found the factors 341,899 . The biggest common factor number is the GCF number.
So the greatest common factor 341,899 is 31.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 77/341, 36/899

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 77/341, 36/899?

Answer: LCM of Numerators as per given numbers 77/341, 36/899 is

LCM of Numerators i.e. for 77,36 is 2772

GCF of denominators i.e. for 341,899 is 31.

Thus, LCM of Fractions is 2772/31.Finally, LCM of Fractions for 77/341, 36/899 is 2772/31.