Least Common Multiple of 810/85, 761/7640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 810/85, 761/7640 quickly i.e. 123282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/85, 761/7640 is 123282.

LCM(810/85, 761/7640) = 123282

LCM of 810/85, 761/7640

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 810/85,761/7640

Given numbers are 810/85,761/7640

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 810,761

Least Common Multiple of Numerators i.e. LCM of 810,761 is 616410.

GCF of Denominators means GCF of 85,7640 as per the given fractions.

GCF of 85,7640 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,761

LCM of Fractions 810/85,761/7640 is 123282

Given numbers has no common factors except 1. So, there LCM is their product i.e 616410

Least Common Multiple of 810,761 with GCF Formula

Least Common Multiple of 810,761 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 810,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,761) = 1

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

GCF(810,761) x common factors =1 x 1 = 1

LCM(810,761) = ( 810 × 761 ) / 1

LCM(810,761) = 616410 / 1

LCM(810,761) = 616410


Lets's calculate GCF of 85,7640

5 85, 7640
17, 1528

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616410/5

Therefore the LCM of Fractions 810/85,761/7640 is 123282

Greatest Common Factor of 85,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,7640 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 85,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 85,7640 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 810/85, 761/7640

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 810/85, 761/7640?

Answer: LCM of Numerators as per given numbers 810/85, 761/7640 is

LCM of Numerators i.e. for 810,761 is 616410

GCF of denominators i.e. for 85,7640 is 5.

Thus, LCM of Fractions is 123282.Finally, LCM of Fractions for 810/85, 761/7640 is 123282.