Least Common Multiple of 902/110, 1368/6895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 902/110, 1368/6895 quickly i.e. 616968/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 902/110, 1368/6895 is 616968/5.

LCM(902/110, 1368/6895) = 616968/5

LCM of 902/110, 1368/6895

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 902/110,1368/6895

Given numbers are 902/110,1368/6895

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 902,1368

Least Common Multiple of Numerators i.e. LCM of 902,1368 is 616968.

GCF of Denominators means GCF of 110,6895 as per the given fractions.

GCF of 110,6895 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 902,1368

LCM of Fractions 902/110,1368/6895 is 616968/5

2 902, 1368
451, 684

∴ So the LCM of the given numbers is 2 x 451 x 684 = 616968

Least Common Multiple of 902,1368 with GCF Formula

Least Common Multiple of 902,1368 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 902,1368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(902,1368) = 2

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

GCF(902,1368) x common factors =2 x 1 = 2

LCM(902,1368) = ( 902 × 1368 ) / 2

LCM(902,1368) = 1233936 / 2

LCM(902,1368) = 616968


Lets's calculate GCF of 110,6895

5 110, 6895
22, 1379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616968/5

Therefore the LCM of Fractions 902/110,1368/6895 is 616968/5

Greatest Common Factor of 110,6895 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,6895 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 6895

List of positive integer factors of 6895 that divides 6895 without a remainder.

1,5,7,35,197,985,1379,6895

Greatest Common Factor

We found the factors 110,6895 . The biggest common factor number is the GCF number.
So the greatest common factor 110,6895 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 902/110, 1368/6895

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 902/110, 1368/6895?

Answer: LCM of Numerators as per given numbers 902/110, 1368/6895 is

LCM of Numerators i.e. for 902,1368 is 616968

GCF of denominators i.e. for 110,6895 is 5.

Thus, LCM of Fractions is 616968/5.Finally, LCM of Fractions for 902/110, 1368/6895 is 616968/5.