Least Common Multiple of 70/130, 42/933, 302/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/130, 42/933, 302/185 quickly i.e. 31710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/130, 42/933, 302/185 is 31710.

LCM(70/130, 42/933, 302/185) = 31710

LCM of 70/130, 42/933, 302/185

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 70/130,42/933,302/185

Given numbers are 70/130,42/933,302/185

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 70,42,302

Least Common Multiple of Numerators i.e. LCM of 70,42,302 is 31710.

GCF of Denominators means GCF of 130,933,185 as per the given fractions.

GCF of 130,933,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,42,302

LCM of Fractions 70/130,42/933,302/185 is 31710

2 70, 42, 302
7 35, 21, 151
5, 3, 151

∴ So the LCM of the given numbers is 2 x 7 x 5 x 3 x 151 = 31710

Least Common Multiple of 70,42,302 with GCF Formula

Least Common Multiple of 70,42,302 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 70,42,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,42,302) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(70,42,302) x common factors =2 x 14 = 28

LCM(70,42,302) = ( 70 × 42 × 302 ) / 28

LCM(70,42,302) = 887880 / 28

LCM(70,42,302) = 31710


Lets's calculate GCF of 130,933,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31710/1

Therefore the LCM of Fractions 70/130,42/933,302/185 is 31710

Greatest Common Factor of 130,933,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,933,185 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 130,933,185 . The biggest common factor number is the GCF number.
So the greatest common factor 130,933,185 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 70/130, 42/933, 302/185

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 70/130, 42/933, 302/185?

Answer: LCM of Numerators as per given numbers 70/130, 42/933, 302/185 is

LCM of Numerators i.e. for 70,42,302 is 31710

GCF of denominators i.e. for 130,933,185 is 1.

Thus, LCM of Fractions is 31710.Finally, LCM of Fractions for 70/130, 42/933, 302/185 is 31710.