Least Common Multiple of 120/38, 834/27, 426/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/38, 834/27, 426/456 quickly i.e. 1184280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/38, 834/27, 426/456 is 1184280.

LCM(120/38, 834/27, 426/456) = 1184280

LCM of 120/38, 834/27, 426/456

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 120/38,834/27,426/456

Given numbers are 120/38,834/27,426/456

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 120,834,426

Least Common Multiple of Numerators i.e. LCM of 120,834,426 is 1184280.

GCF of Denominators means GCF of 38,27,456 as per the given fractions.

GCF of 38,27,456 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,834,426

LCM of Fractions 120/38,834/27,426/456 is 1184280

2 120, 834, 426
3 60, 417, 213
20, 139, 71

∴ So the LCM of the given numbers is 2 x 3 x 20 x 139 x 71 = 1184280

Least Common Multiple of 120,834,426 with GCF Formula

Least Common Multiple of 120,834,426 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 120,834,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,834,426) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(120,834,426) x common factors =6 x 6 = 36

LCM(120,834,426) = ( 120 × 834 × 426 ) / 36

LCM(120,834,426) = 42634080 / 36

LCM(120,834,426) = 1184280


Lets's calculate GCF of 38,27,456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1184280/1

Therefore the LCM of Fractions 120/38,834/27,426/456 is 1184280

Greatest Common Factor of 38,27,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,27,456 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 38,27,456 . The biggest common factor number is the GCF number.
So the greatest common factor 38,27,456 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 120/38, 834/27, 426/456

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 120/38, 834/27, 426/456?

Answer: LCM of Numerators as per given numbers 120/38, 834/27, 426/456 is

LCM of Numerators i.e. for 120,834,426 is 1184280

GCF of denominators i.e. for 38,27,456 is 1.

Thus, LCM of Fractions is 1184280.Finally, LCM of Fractions for 120/38, 834/27, 426/456 is 1184280.