Least Common Multiple of 12/399, 45/471, 140/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/399, 45/471, 140/158 quickly i.e. 1260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/399, 45/471, 140/158 is 1260.

LCM(12/399, 45/471, 140/158) = 1260

LCM of 12/399, 45/471, 140/158

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 12/399,45/471,140/158

Given numbers are 12/399,45/471,140/158

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 12,45,140

Least Common Multiple of Numerators i.e. LCM of 12,45,140 is 1260.

GCF of Denominators means GCF of 399,471,158 as per the given fractions.

GCF of 399,471,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,45,140

LCM of Fractions 12/399,45/471,140/158 is 1260

2 12, 45, 140
2 6, 45, 70
3 3, 45, 35
5 1, 15, 35
1, 3, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 3 x 7 = 1260

Least Common Multiple of 12,45,140 with GCF Formula

Least Common Multiple of 12,45,140 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 12,45,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,45,140) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(12,45,140) x common factors =1 x 60 = 60

LCM(12,45,140) = ( 12 × 45 × 140 ) / 60

LCM(12,45,140) = 75600 / 60

LCM(12,45,140) = 1260


Lets's calculate GCF of 399,471,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1260/1

Therefore the LCM of Fractions 12/399,45/471,140/158 is 1260

Greatest Common Factor of 399,471,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,471,158 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 158

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

1,2,79,158

Greatest Common Factor

We found the factors 399,471,158 . The biggest common factor number is the GCF number.
So the greatest common factor 399,471,158 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 12/399, 45/471, 140/158

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 12/399, 45/471, 140/158?

Answer: LCM of Numerators as per given numbers 12/399, 45/471, 140/158 is

LCM of Numerators i.e. for 12,45,140 is 1260

GCF of denominators i.e. for 399,471,158 is 1.

Thus, LCM of Fractions is 1260.Finally, LCM of Fractions for 12/399, 45/471, 140/158 is 1260.