Least Common Multiple of 30/158, 95/578, 211/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/158, 95/578, 211/165 quickly i.e. 120270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/158, 95/578, 211/165 is 120270.

LCM(30/158, 95/578, 211/165) = 120270

LCM of 30/158, 95/578, 211/165

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 30/158,95/578,211/165

Given numbers are 30/158,95/578,211/165

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 30,95,211

Least Common Multiple of Numerators i.e. LCM of 30,95,211 is 120270.

GCF of Denominators means GCF of 158,578,165 as per the given fractions.

GCF of 158,578,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,95,211

LCM of Fractions 30/158,95/578,211/165 is 120270

5 30, 95, 211
6, 19, 211

∴ So the LCM of the given numbers is 5 x 6 x 19 x 211 = 120270

Least Common Multiple of 30,95,211 with GCF Formula

Least Common Multiple of 30,95,211 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 30,95,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,95,211) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(30,95,211) x common factors =1 x 5 = 5

LCM(30,95,211) = ( 30 × 95 × 211 ) / 5

LCM(30,95,211) = 601350 / 5

LCM(30,95,211) = 120270


Lets's calculate GCF of 158,578,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120270/1

Therefore the LCM of Fractions 30/158,95/578,211/165 is 120270

Greatest Common Factor of 158,578,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 158,578,165 By Matching Biggest Common Factor Method

Factors of 158

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

1,2,79,158

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 158,578,165 . The biggest common factor number is the GCF number.
So the greatest common factor 158,578,165 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 30/158, 95/578, 211/165

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 30/158, 95/578, 211/165?

Answer: LCM of Numerators as per given numbers 30/158, 95/578, 211/165 is

LCM of Numerators i.e. for 30,95,211 is 120270

GCF of denominators i.e. for 158,578,165 is 1.

Thus, LCM of Fractions is 120270.Finally, LCM of Fractions for 30/158, 95/578, 211/165 is 120270.