Least Common Multiple of 404/28, 676/14, 375/143

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 404/28, 676/14, 375/143 quickly i.e. 25603500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 404/28, 676/14, 375/143 is 25603500.

LCM(404/28, 676/14, 375/143) = 25603500

LCM of 404/28, 676/14, 375/143

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 404/28,676/14,375/143

Given numbers are 404/28,676/14,375/143

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 404,676,375

Least Common Multiple of Numerators i.e. LCM of 404,676,375 is 25603500.

GCF of Denominators means GCF of 28,14,143 as per the given fractions.

GCF of 28,14,143 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 404,676,375

LCM of Fractions 404/28,676/14,375/143 is 25603500

2 404, 676, 375
2 202, 338, 375
101, 169, 375

∴ So the LCM of the given numbers is 2 x 2 x 101 x 169 x 375 = 25603500

Least Common Multiple of 404,676,375 with GCF Formula

Least Common Multiple of 404,676,375 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 404,676,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,676,375) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(404,676,375) x common factors =1 x 4 = 4

LCM(404,676,375) = ( 404 × 676 × 375 ) / 4

LCM(404,676,375) = 102414000 / 4

LCM(404,676,375) = 25603500


Lets's calculate GCF of 28,14,143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25603500/1

Therefore the LCM of Fractions 404/28,676/14,375/143 is 25603500

Greatest Common Factor of 28,14,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,14,143 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 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 28,14,143 . The biggest common factor number is the GCF number.
So the greatest common factor 28,14,143 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 404/28, 676/14, 375/143

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 404/28, 676/14, 375/143?

Answer: LCM of Numerators as per given numbers 404/28, 676/14, 375/143 is

LCM of Numerators i.e. for 404,676,375 is 25603500

GCF of denominators i.e. for 28,14,143 is 1.

Thus, LCM of Fractions is 25603500.Finally, LCM of Fractions for 404/28, 676/14, 375/143 is 25603500.