Least Common Multiple of 616/27, 6660/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 616/27, 6660/795 quickly i.e. 341880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/27, 6660/795 is 341880.

LCM(616/27, 6660/795) = 341880

LCM of 616/27, 6660/795

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 616/27,6660/795

Given numbers are 616/27,6660/795

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 616,6660

Least Common Multiple of Numerators i.e. LCM of 616,6660 is 1025640.

GCF of Denominators means GCF of 27,795 as per the given fractions.

GCF of 27,795 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,6660

LCM of Fractions 616/27,6660/795 is 341880

2 616, 6660
2 308, 3330
154, 1665

∴ So the LCM of the given numbers is 2 x 2 x 154 x 1665 = 1025640

Least Common Multiple of 616,6660 with GCF Formula

Least Common Multiple of 616,6660 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 616,6660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,6660) = 4

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

GCF(616,6660) x common factors =4 x 1 = 4

LCM(616,6660) = ( 616 × 6660 ) / 4

LCM(616,6660) = 4102560 / 4

LCM(616,6660) = 1025640


Lets's calculate GCF of 27,795

3 27, 795
9, 265

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1025640/3

Therefore the LCM of Fractions 616/27,6660/795 is 341880

Greatest Common Factor of 27,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,795 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 27,795 . The biggest common factor number is the GCF number.
So the greatest common factor 27,795 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 616/27, 6660/795

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 616/27, 6660/795?

Answer: LCM of Numerators as per given numbers 616/27, 6660/795 is

LCM of Numerators i.e. for 616,6660 is 1025640

GCF of denominators i.e. for 27,795 is 3.

Thus, LCM of Fractions is 341880.Finally, LCM of Fractions for 616/27, 6660/795 is 341880.