Least Common Multiple of 428/28, 4120/141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/28, 4120/141 quickly i.e. 440840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/28, 4120/141 is 440840.

LCM(428/28, 4120/141) = 440840

LCM of 428/28, 4120/141

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 428/28,4120/141

Given numbers are 428/28,4120/141

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 428,4120

Least Common Multiple of Numerators i.e. LCM of 428,4120 is 440840.

GCF of Denominators means GCF of 28,141 as per the given fractions.

GCF of 28,141 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,4120

LCM of Fractions 428/28,4120/141 is 440840

2 428, 4120
2 214, 2060
107, 1030

∴ So the LCM of the given numbers is 2 x 2 x 107 x 1030 = 440840

Least Common Multiple of 428,4120 with GCF Formula

Least Common Multiple of 428,4120 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 428,4120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,4120) = 4

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

GCF(428,4120) x common factors =4 x 1 = 4

LCM(428,4120) = ( 428 × 4120 ) / 4

LCM(428,4120) = 1763360 / 4

LCM(428,4120) = 440840


Lets's calculate GCF of 28,141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440840/1

Therefore the LCM of Fractions 428/28,4120/141 is 440840

Greatest Common Factor of 28,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,141 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 28,141 . The biggest common factor number is the GCF number.
So the greatest common factor 28,141 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 428/28, 4120/141

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 428/28, 4120/141?

Answer: LCM of Numerators as per given numbers 428/28, 4120/141 is

LCM of Numerators i.e. for 428,4120 is 440840

GCF of denominators i.e. for 28,141 is 1.

Thus, LCM of Fractions is 440840.Finally, LCM of Fractions for 428/28, 4120/141 is 440840.