Least Common Multiple of 61/62, 261/91, 460/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/62, 261/91, 460/103 quickly i.e. 7323660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/62, 261/91, 460/103 is 7323660.

LCM(61/62, 261/91, 460/103) = 7323660

LCM of 61/62, 261/91, 460/103

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 61/62,261/91,460/103

Given numbers are 61/62,261/91,460/103

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 61,261,460

Least Common Multiple of Numerators i.e. LCM of 61,261,460 is 7323660.

GCF of Denominators means GCF of 62,91,103 as per the given fractions.

GCF of 62,91,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,261,460

LCM of Fractions 61/62,261/91,460/103 is 7323660

Given numbers has no common factors except 1. So, there LCM is their product i.e 7323660

Least Common Multiple of 61,261,460 with GCF Formula

Least Common Multiple of 61,261,460 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 61,261,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,261,460) = 1

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

GCF(61,261,460) x common factors =1 x 1 = 1

LCM(61,261,460) = ( 61 × 261 × 460 ) / 1

LCM(61,261,460) = 7323660 / 1

LCM(61,261,460) = 7323660


Lets's calculate GCF of 62,91,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7323660/1

Therefore the LCM of Fractions 61/62,261/91,460/103 is 7323660

Greatest Common Factor of 62,91,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,91,103 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 62,91,103 . The biggest common factor number is the GCF number.
So the greatest common factor 62,91,103 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 61/62, 261/91, 460/103

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 61/62, 261/91, 460/103?

Answer: LCM of Numerators as per given numbers 61/62, 261/91, 460/103 is

LCM of Numerators i.e. for 61,261,460 is 7323660

GCF of denominators i.e. for 62,91,103 is 1.

Thus, LCM of Fractions is 7323660.Finally, LCM of Fractions for 61/62, 261/91, 460/103 is 7323660.