Least Common Multiple of 7546/840, 9836/756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7546/840, 9836/756 quickly i.e. 37111228/84 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7546/840, 9836/756 is 37111228/84.

LCM(7546/840, 9836/756) = 37111228/84

LCM of 7546/840, 9836/756

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 7546/840,9836/756

Given numbers are 7546/840,9836/756

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 7546,9836

Least Common Multiple of Numerators i.e. LCM of 7546,9836 is 37111228.

GCF of Denominators means GCF of 840,756 as per the given fractions.

GCF of 840,756 is 84 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7546,9836

LCM of Fractions 7546/840,9836/756 is 37111228/84

2 7546, 9836
3773, 4918

∴ So the LCM of the given numbers is 2 x 3773 x 4918 = 37111228

Least Common Multiple of 7546,9836 with GCF Formula

Least Common Multiple of 7546,9836 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 7546,9836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7546,9836) = 2

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

GCF(7546,9836) x common factors =2 x 1 = 2

LCM(7546,9836) = ( 7546 × 9836 ) / 2

LCM(7546,9836) = 74222456 / 2

LCM(7546,9836) = 37111228


Lets's calculate GCF of 840,756

2 840, 756
2 420, 378
3 210, 189
7 70, 63
10, 9

∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37111228/84

Therefore the LCM of Fractions 7546/840,9836/756 is 37111228/84

Greatest Common Factor of 840,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 840,756 By Matching Biggest Common Factor Method

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 840,756 . The biggest common factor number is the GCF number.
So the greatest common factor 840,756 is 84.


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 7546/840, 9836/756

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 7546/840, 9836/756?

Answer: LCM of Numerators as per given numbers 7546/840, 9836/756 is

LCM of Numerators i.e. for 7546,9836 is 37111228

GCF of denominators i.e. for 840,756 is 84.

Thus, LCM of Fractions is 37111228/84.Finally, LCM of Fractions for 7546/840, 9836/756 is 37111228/84.