Least Common Multiple of 47/742, 55/431, 440/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/742, 55/431, 440/595 quickly i.e. 20680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/742, 55/431, 440/595 is 20680.

LCM(47/742, 55/431, 440/595) = 20680

LCM of 47/742, 55/431, 440/595

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 47/742,55/431,440/595

Given numbers are 47/742,55/431,440/595

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 47,55,440

Least Common Multiple of Numerators i.e. LCM of 47,55,440 is 20680.

GCF of Denominators means GCF of 742,431,595 as per the given fractions.

GCF of 742,431,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,55,440

LCM of Fractions 47/742,55/431,440/595 is 20680

5 47, 55, 440
11 47, 11, 88
47, 1, 8

∴ So the LCM of the given numbers is 5 x 11 x 47 x 1 x 8 = 20680

Least Common Multiple of 47,55,440 with GCF Formula

Least Common Multiple of 47,55,440 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 47,55,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,55,440) = 1

common factors(in case of two or more numbers have common factors) = 55

GCF(47,55,440) x common factors =1 x 55 = 55

LCM(47,55,440) = ( 47 × 55 × 440 ) / 55

LCM(47,55,440) = 1137400 / 55

LCM(47,55,440) = 20680


Lets's calculate GCF of 742,431,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20680/1

Therefore the LCM of Fractions 47/742,55/431,440/595 is 20680

Greatest Common Factor of 742,431,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,431,595 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 742,431,595 . The biggest common factor number is the GCF number.
So the greatest common factor 742,431,595 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 47/742, 55/431, 440/595

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 47/742, 55/431, 440/595?

Answer: LCM of Numerators as per given numbers 47/742, 55/431, 440/595 is

LCM of Numerators i.e. for 47,55,440 is 20680

GCF of denominators i.e. for 742,431,595 is 1.

Thus, LCM of Fractions is 20680.Finally, LCM of Fractions for 47/742, 55/431, 440/595 is 20680.