Least Common Multiple of 103/688, 2661/616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 103/688, 2661/616 quickly i.e. 274083/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 103/688, 2661/616 is 274083/8.

LCM(103/688, 2661/616) = 274083/8

LCM of 103/688, 2661/616

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 103/688,2661/616

Given numbers are 103/688,2661/616

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 103,2661

Least Common Multiple of Numerators i.e. LCM of 103,2661 is 274083.

GCF of Denominators means GCF of 688,616 as per the given fractions.

GCF of 688,616 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 103,2661

LCM of Fractions 103/688,2661/616 is 274083/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 274083

Least Common Multiple of 103,2661 with GCF Formula

Least Common Multiple of 103,2661 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 103,2661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(103,2661) = 1

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

GCF(103,2661) x common factors =1 x 1 = 1

LCM(103,2661) = ( 103 × 2661 ) / 1

LCM(103,2661) = 274083 / 1

LCM(103,2661) = 274083


Lets's calculate GCF of 688,616

2 688, 616
2 344, 308
2 172, 154
86, 77

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274083/8

Therefore the LCM of Fractions 103/688,2661/616 is 274083/8

Greatest Common Factor of 688,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,616 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 688,616 . The biggest common factor number is the GCF number.
So the greatest common factor 688,616 is 8.


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 103/688, 2661/616

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 103/688, 2661/616?

Answer: LCM of Numerators as per given numbers 103/688, 2661/616 is

LCM of Numerators i.e. for 103,2661 is 274083

GCF of denominators i.e. for 688,616 is 8.

Thus, LCM of Fractions is 274083/8.Finally, LCM of Fractions for 103/688, 2661/616 is 274083/8.