Least Common Multiple of 654/120, 4158/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 654/120, 4158/133 quickly i.e. 453222 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 654/120, 4158/133 is 453222.

LCM(654/120, 4158/133) = 453222

LCM of 654/120, 4158/133

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 654/120,4158/133

Given numbers are 654/120,4158/133

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 654,4158

Least Common Multiple of Numerators i.e. LCM of 654,4158 is 453222.

GCF of Denominators means GCF of 120,133 as per the given fractions.

GCF of 120,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 654,4158

LCM of Fractions 654/120,4158/133 is 453222

2 654, 4158
3 327, 2079
109, 693

∴ So the LCM of the given numbers is 2 x 3 x 109 x 693 = 453222

Least Common Multiple of 654,4158 with GCF Formula

Least Common Multiple of 654,4158 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 654,4158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,4158) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(654,4158) x common factors =6 x 1 = 6

LCM(654,4158) = ( 654 × 4158 ) / 6

LCM(654,4158) = 2719332 / 6

LCM(654,4158) = 453222


Lets's calculate GCF of 120,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453222/1

Therefore the LCM of Fractions 654/120,4158/133 is 453222

Greatest Common Factor of 120,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,133 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 120,133 . The biggest common factor number is the GCF number.
So the greatest common factor 120,133 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 654/120, 4158/133

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 654/120, 4158/133?

Answer: LCM of Numerators as per given numbers 654/120, 4158/133 is

LCM of Numerators i.e. for 654,4158 is 453222

GCF of denominators i.e. for 120,133 is 1.

Thus, LCM of Fractions is 453222.Finally, LCM of Fractions for 654/120, 4158/133 is 453222.