Least Common Multiple of 756/69, 546/1740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 756/69, 546/1740 quickly i.e. 3276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 756/69, 546/1740 is 3276.

LCM(756/69, 546/1740) = 3276

LCM of 756/69, 546/1740

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 756/69,546/1740

Given numbers are 756/69,546/1740

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 756,546

Least Common Multiple of Numerators i.e. LCM of 756,546 is 9828.

GCF of Denominators means GCF of 69,1740 as per the given fractions.

GCF of 69,1740 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 756,546

LCM of Fractions 756/69,546/1740 is 3276

2 756, 546
3 378, 273
7 126, 91
18, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 18 x 13 = 9828

Least Common Multiple of 756,546 with GCF Formula

Least Common Multiple of 756,546 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 756,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,546) = 42

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

GCF(756,546) x common factors =42 x 1 = 42

LCM(756,546) = ( 756 × 546 ) / 42

LCM(756,546) = 412776 / 42

LCM(756,546) = 9828


Lets's calculate GCF of 69,1740

3 69, 1740
23, 580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9828/3

Therefore the LCM of Fractions 756/69,546/1740 is 3276

Greatest Common Factor of 69,1740 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,1740 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 1740

List of positive integer factors of 1740 that divides 1740 without a remainder.

1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740

Greatest Common Factor

We found the factors 69,1740 . The biggest common factor number is the GCF number.
So the greatest common factor 69,1740 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 756/69, 546/1740

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 756/69, 546/1740?

Answer: LCM of Numerators as per given numbers 756/69, 546/1740 is

LCM of Numerators i.e. for 756,546 is 9828

GCF of denominators i.e. for 69,1740 is 3.

Thus, LCM of Fractions is 3276.Finally, LCM of Fractions for 756/69, 546/1740 is 3276.