Least Common Multiple of 85/96, 34/139, 450/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/96, 34/139, 450/888 quickly i.e. 7650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/96, 34/139, 450/888 is 7650.

LCM(85/96, 34/139, 450/888) = 7650

LCM of 85/96, 34/139, 450/888

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 85/96,34/139,450/888

Given numbers are 85/96,34/139,450/888

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 85,34,450

Least Common Multiple of Numerators i.e. LCM of 85,34,450 is 7650.

GCF of Denominators means GCF of 96,139,888 as per the given fractions.

GCF of 96,139,888 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,34,450

LCM of Fractions 85/96,34/139,450/888 is 7650

2 85, 34, 450
5 85, 17, 225
17 17, 17, 45
1, 1, 45

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 1 x 45 = 7650

Least Common Multiple of 85,34,450 with GCF Formula

Least Common Multiple of 85,34,450 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 85,34,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,34,450) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(85,34,450) x common factors =1 x 170 = 170

LCM(85,34,450) = ( 85 × 34 × 450 ) / 170

LCM(85,34,450) = 1300500 / 170

LCM(85,34,450) = 7650


Lets's calculate GCF of 96,139,888

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7650/1

Therefore the LCM of Fractions 85/96,34/139,450/888 is 7650

Greatest Common Factor of 96,139,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,139,888 By Matching Biggest Common Factor Method

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 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 96,139,888 . The biggest common factor number is the GCF number.
So the greatest common factor 96,139,888 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 85/96, 34/139, 450/888

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 85/96, 34/139, 450/888?

Answer: LCM of Numerators as per given numbers 85/96, 34/139, 450/888 is

LCM of Numerators i.e. for 85,34,450 is 7650

GCF of denominators i.e. for 96,139,888 is 1.

Thus, LCM of Fractions is 7650.Finally, LCM of Fractions for 85/96, 34/139, 450/888 is 7650.