Least Common Multiple of 9846/755, 8540/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9846/755, 8540/685 quickly i.e. 8408484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9846/755, 8540/685 is 8408484.

LCM(9846/755, 8540/685) = 8408484

LCM of 9846/755, 8540/685

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 9846/755,8540/685

Given numbers are 9846/755,8540/685

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 9846,8540

Least Common Multiple of Numerators i.e. LCM of 9846,8540 is 42042420.

GCF of Denominators means GCF of 755,685 as per the given fractions.

GCF of 755,685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9846,8540

LCM of Fractions 9846/755,8540/685 is 8408484

2 9846, 8540
4923, 4270

∴ So the LCM of the given numbers is 2 x 4923 x 4270 = 42042420

Least Common Multiple of 9846,8540 with GCF Formula

Least Common Multiple of 9846,8540 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 9846,8540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9846,8540) = 2

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

GCF(9846,8540) x common factors =2 x 1 = 2

LCM(9846,8540) = ( 9846 × 8540 ) / 2

LCM(9846,8540) = 84084840 / 2

LCM(9846,8540) = 42042420


Lets's calculate GCF of 755,685

5 755, 685
151, 137

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42042420/5

Therefore the LCM of Fractions 9846/755,8540/685 is 8408484

Greatest Common Factor of 755,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,685 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 755,685 . The biggest common factor number is the GCF number.
So the greatest common factor 755,685 is 5.


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 9846/755, 8540/685

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 9846/755, 8540/685?

Answer: LCM of Numerators as per given numbers 9846/755, 8540/685 is

LCM of Numerators i.e. for 9846,8540 is 42042420

GCF of denominators i.e. for 755,685 is 5.

Thus, LCM of Fractions is 8408484.Finally, LCM of Fractions for 9846/755, 8540/685 is 8408484.