Least Common Multiple of 763/55, 675/6860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/55, 675/6860 quickly i.e. 103005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/55, 675/6860 is 103005.

LCM(763/55, 675/6860) = 103005

LCM of 763/55, 675/6860

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 763/55,675/6860

Given numbers are 763/55,675/6860

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 763,675

Least Common Multiple of Numerators i.e. LCM of 763,675 is 515025.

GCF of Denominators means GCF of 55,6860 as per the given fractions.

GCF of 55,6860 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,675

LCM of Fractions 763/55,675/6860 is 103005

Given numbers has no common factors except 1. So, there LCM is their product i.e 515025

Least Common Multiple of 763,675 with GCF Formula

Least Common Multiple of 763,675 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 763,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,675) = 1

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

GCF(763,675) x common factors =1 x 1 = 1

LCM(763,675) = ( 763 × 675 ) / 1

LCM(763,675) = 515025 / 1

LCM(763,675) = 515025


Lets's calculate GCF of 55,6860

5 55, 6860
11, 1372

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 515025/5

Therefore the LCM of Fractions 763/55,675/6860 is 103005

Greatest Common Factor of 55,6860 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,6860 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors 55,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 55,6860 is 5.


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 763/55, 675/6860

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 763/55, 675/6860?

Answer: LCM of Numerators as per given numbers 763/55, 675/6860 is

LCM of Numerators i.e. for 763,675 is 515025

GCF of denominators i.e. for 55,6860 is 5.

Thus, LCM of Fractions is 103005.Finally, LCM of Fractions for 763/55, 675/6860 is 103005.