Least Common Multiple of 742/89, 512/64, 170/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/89, 512/64, 170/958 quickly i.e. 16145920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/89, 512/64, 170/958 is 16145920.

LCM(742/89, 512/64, 170/958) = 16145920

LCM of 742/89, 512/64, 170/958

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 742/89,512/64,170/958

Given numbers are 742/89,512/64,170/958

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 742,512,170

Least Common Multiple of Numerators i.e. LCM of 742,512,170 is 16145920.

GCF of Denominators means GCF of 89,64,958 as per the given fractions.

GCF of 89,64,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,512,170

LCM of Fractions 742/89,512/64,170/958 is 16145920

2 742, 512, 170
371, 256, 85

∴ So the LCM of the given numbers is 2 x 371 x 256 x 85 = 16145920

Least Common Multiple of 742,512,170 with GCF Formula

Least Common Multiple of 742,512,170 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 742,512,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,512,170) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(742,512,170) x common factors =2 x 2 = 4

LCM(742,512,170) = ( 742 × 512 × 170 ) / 4

LCM(742,512,170) = 64583680 / 4

LCM(742,512,170) = 16145920


Lets's calculate GCF of 89,64,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16145920/1

Therefore the LCM of Fractions 742/89,512/64,170/958 is 16145920

Greatest Common Factor of 89,64,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,64,958 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 89,64,958 . The biggest common factor number is the GCF number.
So the greatest common factor 89,64,958 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 742/89, 512/64, 170/958

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 742/89, 512/64, 170/958?

Answer: LCM of Numerators as per given numbers 742/89, 512/64, 170/958 is

LCM of Numerators i.e. for 742,512,170 is 16145920

GCF of denominators i.e. for 89,64,958 is 1.

Thus, LCM of Fractions is 16145920.Finally, LCM of Fractions for 742/89, 512/64, 170/958 is 16145920.