Least Common Multiple of 2734/546, 3927/765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2734/546, 3927/765 quickly i.e. 3578806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2734/546, 3927/765 is 3578806.

LCM(2734/546, 3927/765) = 3578806

LCM of 2734/546, 3927/765

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 2734/546,3927/765

Given numbers are 2734/546,3927/765

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 2734,3927

Least Common Multiple of Numerators i.e. LCM of 2734,3927 is 10736418.

GCF of Denominators means GCF of 546,765 as per the given fractions.

GCF of 546,765 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2734,3927

LCM of Fractions 2734/546,3927/765 is 3578806

Given numbers has no common factors except 1. So, there LCM is their product i.e 10736418

Least Common Multiple of 2734,3927 with GCF Formula

Least Common Multiple of 2734,3927 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 2734,3927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2734,3927) = 1

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

GCF(2734,3927) x common factors =1 x 1 = 1

LCM(2734,3927) = ( 2734 × 3927 ) / 1

LCM(2734,3927) = 10736418 / 1

LCM(2734,3927) = 10736418


Lets's calculate GCF of 546,765

3 546, 765
182, 255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10736418/3

Therefore the LCM of Fractions 2734/546,3927/765 is 3578806

Greatest Common Factor of 546,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,765 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 546,765 . The biggest common factor number is the GCF number.
So the greatest common factor 546,765 is 3.


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 2734/546, 3927/765

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 2734/546, 3927/765?

Answer: LCM of Numerators as per given numbers 2734/546, 3927/765 is

LCM of Numerators i.e. for 2734,3927 is 10736418

GCF of denominators i.e. for 546,765 is 3.

Thus, LCM of Fractions is 3578806.Finally, LCM of Fractions for 2734/546, 3927/765 is 3578806.