Least Common Multiple of 30/134, 859/426, 142/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/134, 859/426, 142/232 quickly i.e. 914835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/134, 859/426, 142/232 is 914835.

LCM(30/134, 859/426, 142/232) = 914835

LCM of 30/134, 859/426, 142/232

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 30/134,859/426,142/232

Given numbers are 30/134,859/426,142/232

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 30,859,142

Least Common Multiple of Numerators i.e. LCM of 30,859,142 is 1829670.

GCF of Denominators means GCF of 134,426,232 as per the given fractions.

GCF of 134,426,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,859,142

LCM of Fractions 30/134,859/426,142/232 is 914835

2 30, 859, 142
15, 859, 71

∴ So the LCM of the given numbers is 2 x 15 x 859 x 71 = 1829670

Least Common Multiple of 30,859,142 with GCF Formula

Least Common Multiple of 30,859,142 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 30,859,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,859,142) = 1

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

GCF(30,859,142) x common factors =1 x 2 = 2

LCM(30,859,142) = ( 30 × 859 × 142 ) / 2

LCM(30,859,142) = 3659340 / 2

LCM(30,859,142) = 1829670


Lets's calculate GCF of 134,426,232

2 134, 426, 232
67, 213, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1829670/2

Therefore the LCM of Fractions 30/134,859/426,142/232 is 914835

Greatest Common Factor of 134,426,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,426,232 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 134,426,232 . The biggest common factor number is the GCF number.
So the greatest common factor 134,426,232 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 30/134, 859/426, 142/232

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 30/134, 859/426, 142/232?

Answer: LCM of Numerators as per given numbers 30/134, 859/426, 142/232 is

LCM of Numerators i.e. for 30,859,142 is 1829670

GCF of denominators i.e. for 134,426,232 is 2.

Thus, LCM of Fractions is 914835.Finally, LCM of Fractions for 30/134, 859/426, 142/232 is 914835.