Least Common Multiple of 755/79, 170/21, 400/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 755/79, 170/21, 400/943 quickly i.e. 1026800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 755/79, 170/21, 400/943 is 1026800.

LCM(755/79, 170/21, 400/943) = 1026800

LCM of 755/79, 170/21, 400/943

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 755/79,170/21,400/943

Given numbers are 755/79,170/21,400/943

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 755,170,400

Least Common Multiple of Numerators i.e. LCM of 755,170,400 is 1026800.

GCF of Denominators means GCF of 79,21,943 as per the given fractions.

GCF of 79,21,943 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 755,170,400

LCM of Fractions 755/79,170/21,400/943 is 1026800

2 755, 170, 400
5 755, 85, 200
151, 17, 40

∴ So the LCM of the given numbers is 2 x 5 x 151 x 17 x 40 = 1026800

Least Common Multiple of 755,170,400 with GCF Formula

Least Common Multiple of 755,170,400 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 755,170,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,170,400) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(755,170,400) x common factors =5 x 10 = 50

LCM(755,170,400) = ( 755 × 170 × 400 ) / 50

LCM(755,170,400) = 51340000 / 50

LCM(755,170,400) = 1026800


Lets's calculate GCF of 79,21,943

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1026800/1

Therefore the LCM of Fractions 755/79,170/21,400/943 is 1026800

Greatest Common Factor of 79,21,943 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,21,943 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 943

List of positive integer factors of 943 that divides 943 without a remainder.

1,23,41,943

Greatest Common Factor

We found the factors 79,21,943 . The biggest common factor number is the GCF number.
So the greatest common factor 79,21,943 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 755/79, 170/21, 400/943

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 755/79, 170/21, 400/943?

Answer: LCM of Numerators as per given numbers 755/79, 170/21, 400/943 is

LCM of Numerators i.e. for 755,170,400 is 1026800

GCF of denominators i.e. for 79,21,943 is 1.

Thus, LCM of Fractions is 1026800.Finally, LCM of Fractions for 755/79, 170/21, 400/943 is 1026800.