Least Common Multiple of 735/685, 9675/9876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/685, 9675/9876 quickly i.e. 474075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/685, 9675/9876 is 474075.

LCM(735/685, 9675/9876) = 474075

LCM of 735/685, 9675/9876

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 735/685,9675/9876

Given numbers are 735/685,9675/9876

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 735,9675

Least Common Multiple of Numerators i.e. LCM of 735,9675 is 474075.

GCF of Denominators means GCF of 685,9876 as per the given fractions.

GCF of 685,9876 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,9675

LCM of Fractions 735/685,9675/9876 is 474075

3 735, 9675
5 245, 3225
49, 645

∴ So the LCM of the given numbers is 3 x 5 x 49 x 645 = 474075

Least Common Multiple of 735,9675 with GCF Formula

Least Common Multiple of 735,9675 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 735,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,9675) = 15

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

GCF(735,9675) x common factors =15 x 1 = 15

LCM(735,9675) = ( 735 × 9675 ) / 15

LCM(735,9675) = 7111125 / 15

LCM(735,9675) = 474075


Lets's calculate GCF of 685,9876

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474075/1

Therefore the LCM of Fractions 735/685,9675/9876 is 474075

Greatest Common Factor of 685,9876 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,9876 By Matching Biggest Common Factor Method

Factors of 685

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

1,5,137,685

Factors of 9876

List of positive integer factors of 9876 that divides 9876 without a remainder.

1,2,3,4,6,12,823,1646,2469,3292,4938,9876

Greatest Common Factor

We found the factors 685,9876 . The biggest common factor number is the GCF number.
So the greatest common factor 685,9876 is 1.


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 735/685, 9675/9876

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 735/685, 9675/9876?

Answer: LCM of Numerators as per given numbers 735/685, 9675/9876 is

LCM of Numerators i.e. for 735,9675 is 474075

GCF of denominators i.e. for 685,9876 is 1.

Thus, LCM of Fractions is 474075.Finally, LCM of Fractions for 735/685, 9675/9876 is 474075.