Least Common Multiple of 62/45, 81/10, 62/96, 34/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/45, 81/10, 62/96, 34/172 quickly i.e. 85374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/45, 81/10, 62/96, 34/172 is 85374.

LCM(62/45, 81/10, 62/96, 34/172) = 85374

LCM of 62/45, 81/10, 62/96, 34/172

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 62/45,81/10,62/96,34/172

Given numbers are 62/45,81/10,62/96,34/172

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 62,81,62,34

Least Common Multiple of Numerators i.e. LCM of 62,81,62,34 is 85374.

GCF of Denominators means GCF of 45,10,96,172 as per the given fractions.

GCF of 45,10,96,172 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,81,62,34

LCM of Fractions 62/45,81/10,62/96,34/172 is 85374

2 62, 81, 62, 34
31 31, 81, 31, 17
1, 81, 1, 17

∴ So the LCM of the given numbers is 2 x 31 x 1 x 81 x 1 x 17 = 85374

Least Common Multiple of 62,81,62,34 with GCF Formula

Least Common Multiple of 62,81,62,34 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 62,81,62,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,81,62,34) = 1

common factors(in case of two or more numbers have common factors) = 124

GCF(62,81,62,34) x common factors =1 x 124 = 124

LCM(62,81,62,34) = ( 62 × 81 × 62 × 34 ) / 124

LCM(62,81,62,34) = 10586376 / 124

LCM(62,81,62,34) = 85374


Lets's calculate GCF of 45,10,96,172

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85374/1

Therefore the LCM of Fractions 62/45,81/10,62/96,34/172 is 85374

Greatest Common Factor of 45,10,96,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,10,96,172 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 45,10,96,172 . The biggest common factor number is the GCF number.
So the greatest common factor 45,10,96,172 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 62/45, 81/10, 62/96, 34/172

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 62/45, 81/10, 62/96, 34/172?

Answer: LCM of Numerators as per given numbers 62/45, 81/10, 62/96, 34/172 is

LCM of Numerators i.e. for 62,81,62,34 is 85374

GCF of denominators i.e. for 45,10,96,172 is 1.

Thus, LCM of Fractions is 85374.Finally, LCM of Fractions for 62/45, 81/10, 62/96, 34/172 is 85374.