Least Common Multiple of 6735/710, 1235/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6735/710, 1235/117 quickly i.e. 1663545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6735/710, 1235/117 is 1663545.

LCM(6735/710, 1235/117) = 1663545

LCM of 6735/710, 1235/117

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 6735/710,1235/117

Given numbers are 6735/710,1235/117

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 6735,1235

Least Common Multiple of Numerators i.e. LCM of 6735,1235 is 1663545.

GCF of Denominators means GCF of 710,117 as per the given fractions.

GCF of 710,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6735,1235

LCM of Fractions 6735/710,1235/117 is 1663545

5 6735, 1235
1347, 247

∴ So the LCM of the given numbers is 5 x 1347 x 247 = 1663545

Least Common Multiple of 6735,1235 with GCF Formula

Least Common Multiple of 6735,1235 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 6735,1235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6735,1235) = 5

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

GCF(6735,1235) x common factors =5 x 1 = 5

LCM(6735,1235) = ( 6735 × 1235 ) / 5

LCM(6735,1235) = 8317725 / 5

LCM(6735,1235) = 1663545


Lets's calculate GCF of 710,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1663545/1

Therefore the LCM of Fractions 6735/710,1235/117 is 1663545

Greatest Common Factor of 710,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,117 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 710,117 . The biggest common factor number is the GCF number.
So the greatest common factor 710,117 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6735/710, 1235/117

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 6735/710, 1235/117?

Answer: LCM of Numerators as per given numbers 6735/710, 1235/117 is

LCM of Numerators i.e. for 6735,1235 is 1663545

GCF of denominators i.e. for 710,117 is 1.

Thus, LCM of Fractions is 1663545.Finally, LCM of Fractions for 6735/710, 1235/117 is 1663545.