Least Common Multiple of 536/47, 770/6718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 536/47, 770/6718 quickly i.e. 206360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 536/47, 770/6718 is 206360.

LCM(536/47, 770/6718) = 206360

LCM of 536/47, 770/6718

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 536/47,770/6718

Given numbers are 536/47,770/6718

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 536,770

Least Common Multiple of Numerators i.e. LCM of 536,770 is 206360.

GCF of Denominators means GCF of 47,6718 as per the given fractions.

GCF of 47,6718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 536,770

LCM of Fractions 536/47,770/6718 is 206360

2 536, 770
268, 385

∴ So the LCM of the given numbers is 2 x 268 x 385 = 206360

Least Common Multiple of 536,770 with GCF Formula

Least Common Multiple of 536,770 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 536,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,770) = 2

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

GCF(536,770) x common factors =2 x 1 = 2

LCM(536,770) = ( 536 × 770 ) / 2

LCM(536,770) = 412720 / 2

LCM(536,770) = 206360


Lets's calculate GCF of 47,6718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206360/1

Therefore the LCM of Fractions 536/47,770/6718 is 206360

Greatest Common Factor of 47,6718 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,6718 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 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Greatest Common Factor

We found the factors 47,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 47,6718 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 536/47, 770/6718

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 536/47, 770/6718?

Answer: LCM of Numerators as per given numbers 536/47, 770/6718 is

LCM of Numerators i.e. for 536,770 is 206360

GCF of denominators i.e. for 47,6718 is 1.

Thus, LCM of Fractions is 206360.Finally, LCM of Fractions for 536/47, 770/6718 is 206360.