Least Common Multiple of 9020/208, 6898/6735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9020/208, 6898/6735 quickly i.e. 31109980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9020/208, 6898/6735 is 31109980.

LCM(9020/208, 6898/6735) = 31109980

LCM of 9020/208, 6898/6735

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 9020/208,6898/6735

Given numbers are 9020/208,6898/6735

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 9020,6898

Least Common Multiple of Numerators i.e. LCM of 9020,6898 is 31109980.

GCF of Denominators means GCF of 208,6735 as per the given fractions.

GCF of 208,6735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9020,6898

LCM of Fractions 9020/208,6898/6735 is 31109980

2 9020, 6898
4510, 3449

∴ So the LCM of the given numbers is 2 x 4510 x 3449 = 31109980

Least Common Multiple of 9020,6898 with GCF Formula

Least Common Multiple of 9020,6898 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 9020,6898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9020,6898) = 2

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

GCF(9020,6898) x common factors =2 x 1 = 2

LCM(9020,6898) = ( 9020 × 6898 ) / 2

LCM(9020,6898) = 62219960 / 2

LCM(9020,6898) = 31109980


Lets's calculate GCF of 208,6735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31109980/1

Therefore the LCM of Fractions 9020/208,6898/6735 is 31109980

Greatest Common Factor of 208,6735 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,6735 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1,3,5,15,449,1347,2245,6735

Greatest Common Factor

We found the factors 208,6735 . The biggest common factor number is the GCF number.
So the greatest common factor 208,6735 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 9020/208, 6898/6735

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 9020/208, 6898/6735?

Answer: LCM of Numerators as per given numbers 9020/208, 6898/6735 is

LCM of Numerators i.e. for 9020,6898 is 31109980

GCF of denominators i.e. for 208,6735 is 1.

Thus, LCM of Fractions is 31109980.Finally, LCM of Fractions for 9020/208, 6898/6735 is 31109980.