Least Common Multiple of 646/47, 271/88, 593/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 646/47, 271/88, 593/840 quickly i.e. 103814138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/47, 271/88, 593/840 is 103814138.

LCM(646/47, 271/88, 593/840) = 103814138

LCM of 646/47, 271/88, 593/840

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 646/47,271/88,593/840

Given numbers are 646/47,271/88,593/840

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 646,271,593

Least Common Multiple of Numerators i.e. LCM of 646,271,593 is 103814138.

GCF of Denominators means GCF of 47,88,840 as per the given fractions.

GCF of 47,88,840 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,271,593

LCM of Fractions 646/47,271/88,593/840 is 103814138

Given numbers has no common factors except 1. So, there LCM is their product i.e 103814138

Least Common Multiple of 646,271,593 with GCF Formula

Least Common Multiple of 646,271,593 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 646,271,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,271,593) = 1

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

GCF(646,271,593) x common factors =1 x 1 = 1

LCM(646,271,593) = ( 646 × 271 × 593 ) / 1

LCM(646,271,593) = 103814138 / 1

LCM(646,271,593) = 103814138


Lets's calculate GCF of 47,88,840

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103814138/1

Therefore the LCM of Fractions 646/47,271/88,593/840 is 103814138

Greatest Common Factor of 47,88,840 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,88,840 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 47,88,840 . The biggest common factor number is the GCF number.
So the greatest common factor 47,88,840 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 646/47, 271/88, 593/840

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 646/47, 271/88, 593/840?

Answer: LCM of Numerators as per given numbers 646/47, 271/88, 593/840 is

LCM of Numerators i.e. for 646,271,593 is 103814138

GCF of denominators i.e. for 47,88,840 is 1.

Thus, LCM of Fractions is 103814138.Finally, LCM of Fractions for 646/47, 271/88, 593/840 is 103814138.