Least Common Multiple of 6702/506, 4635/763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6702/506, 4635/763 quickly i.e. 10354590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6702/506, 4635/763 is 10354590.

LCM(6702/506, 4635/763) = 10354590

LCM of 6702/506, 4635/763

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 6702/506,4635/763

Given numbers are 6702/506,4635/763

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 6702,4635

Least Common Multiple of Numerators i.e. LCM of 6702,4635 is 10354590.

GCF of Denominators means GCF of 506,763 as per the given fractions.

GCF of 506,763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6702,4635

LCM of Fractions 6702/506,4635/763 is 10354590

3 6702, 4635
2234, 1545

∴ So the LCM of the given numbers is 3 x 2234 x 1545 = 10354590

Least Common Multiple of 6702,4635 with GCF Formula

Least Common Multiple of 6702,4635 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 6702,4635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6702,4635) = 3

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

GCF(6702,4635) x common factors =3 x 1 = 3

LCM(6702,4635) = ( 6702 × 4635 ) / 3

LCM(6702,4635) = 31063770 / 3

LCM(6702,4635) = 10354590


Lets's calculate GCF of 506,763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10354590/1

Therefore the LCM of Fractions 6702/506,4635/763 is 10354590

Greatest Common Factor of 506,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,763 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 506,763 . The biggest common factor number is the GCF number.
So the greatest common factor 506,763 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 6702/506, 4635/763

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 6702/506, 4635/763?

Answer: LCM of Numerators as per given numbers 6702/506, 4635/763 is

LCM of Numerators i.e. for 6702,4635 is 10354590

GCF of denominators i.e. for 506,763 is 1.

Thus, LCM of Fractions is 10354590.Finally, LCM of Fractions for 6702/506, 4635/763 is 10354590.