Least Common Multiple of 32/427, 7661/8616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/427, 7661/8616 quickly i.e. 245152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/427, 7661/8616 is 245152.

LCM(32/427, 7661/8616) = 245152

LCM of 32/427, 7661/8616

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 32/427,7661/8616

Given numbers are 32/427,7661/8616

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 32,7661

Least Common Multiple of Numerators i.e. LCM of 32,7661 is 245152.

GCF of Denominators means GCF of 427,8616 as per the given fractions.

GCF of 427,8616 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,7661

LCM of Fractions 32/427,7661/8616 is 245152

Given numbers has no common factors except 1. So, there LCM is their product i.e 245152

Least Common Multiple of 32,7661 with GCF Formula

Least Common Multiple of 32,7661 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 32,7661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,7661) = 1

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

GCF(32,7661) x common factors =1 x 1 = 1

LCM(32,7661) = ( 32 × 7661 ) / 1

LCM(32,7661) = 245152 / 1

LCM(32,7661) = 245152


Lets's calculate GCF of 427,8616

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245152/1

Therefore the LCM of Fractions 32/427,7661/8616 is 245152

Greatest Common Factor of 427,8616 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,8616 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 8616

List of positive integer factors of 8616 that divides 8616 without a remainder.

1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616

Greatest Common Factor

We found the factors 427,8616 . The biggest common factor number is the GCF number.
So the greatest common factor 427,8616 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 32/427, 7661/8616

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 32/427, 7661/8616?

Answer: LCM of Numerators as per given numbers 32/427, 7661/8616 is

LCM of Numerators i.e. for 32,7661 is 245152

GCF of denominators i.e. for 427,8616 is 1.

Thus, LCM of Fractions is 245152.Finally, LCM of Fractions for 32/427, 7661/8616 is 245152.