Least Common Multiple of 42/32, 75/10, 685/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/32, 75/10, 685/158 quickly i.e. 71925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/32, 75/10, 685/158 is 71925.

LCM(42/32, 75/10, 685/158) = 71925

LCM of 42/32, 75/10, 685/158

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 42/32,75/10,685/158

Given numbers are 42/32,75/10,685/158

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 42,75,685

Least Common Multiple of Numerators i.e. LCM of 42,75,685 is 143850.

GCF of Denominators means GCF of 32,10,158 as per the given fractions.

GCF of 32,10,158 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,75,685

LCM of Fractions 42/32,75/10,685/158 is 71925

3 42, 75, 685
5 14, 25, 685
14, 5, 137

∴ So the LCM of the given numbers is 3 x 5 x 14 x 5 x 137 = 143850

Least Common Multiple of 42,75,685 with GCF Formula

Least Common Multiple of 42,75,685 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 42,75,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,75,685) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(42,75,685) x common factors =1 x 15 = 15

LCM(42,75,685) = ( 42 × 75 × 685 ) / 15

LCM(42,75,685) = 2157750 / 15

LCM(42,75,685) = 143850


Lets's calculate GCF of 32,10,158

2 32, 10, 158
16, 5, 79

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143850/2

Therefore the LCM of Fractions 42/32,75/10,685/158 is 71925

Greatest Common Factor of 32,10,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,10,158 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 10

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

1,2,5,10

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 32,10,158 . The biggest common factor number is the GCF number.
So the greatest common factor 32,10,158 is 2.


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 42/32, 75/10, 685/158

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 42/32, 75/10, 685/158?

Answer: LCM of Numerators as per given numbers 42/32, 75/10, 685/158 is

LCM of Numerators i.e. for 42,75,685 is 143850

GCF of denominators i.e. for 32,10,158 is 2.

Thus, LCM of Fractions is 71925.Finally, LCM of Fractions for 42/32, 75/10, 685/158 is 71925.