Least Common Multiple of 76/700, 6681/9010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/700, 6681/9010 quickly i.e. 507756/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/700, 6681/9010 is 507756/10.

LCM(76/700, 6681/9010) = 507756/10

LCM of 76/700, 6681/9010

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 76/700,6681/9010

Given numbers are 76/700,6681/9010

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 76,6681

Least Common Multiple of Numerators i.e. LCM of 76,6681 is 507756.

GCF of Denominators means GCF of 700,9010 as per the given fractions.

GCF of 700,9010 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,6681

LCM of Fractions 76/700,6681/9010 is 507756/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 507756

Least Common Multiple of 76,6681 with GCF Formula

Least Common Multiple of 76,6681 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 76,6681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,6681) = 1

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

GCF(76,6681) x common factors =1 x 1 = 1

LCM(76,6681) = ( 76 × 6681 ) / 1

LCM(76,6681) = 507756 / 1

LCM(76,6681) = 507756


Lets's calculate GCF of 700,9010

2 700, 9010
5 350, 4505
70, 901

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 507756/10

Therefore the LCM of Fractions 76/700,6681/9010 is 507756/10

Greatest Common Factor of 700,9010 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,9010 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 9010

List of positive integer factors of 9010 that divides 9010 without a remainder.

1,2,5,10,17,34,53,85,106,170,265,530,901,1802,4505,9010

Greatest Common Factor

We found the factors 700,9010 . The biggest common factor number is the GCF number.
So the greatest common factor 700,9010 is 10.


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 76/700, 6681/9010

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 76/700, 6681/9010?

Answer: LCM of Numerators as per given numbers 76/700, 6681/9010 is

LCM of Numerators i.e. for 76,6681 is 507756

GCF of denominators i.e. for 700,9010 is 10.

Thus, LCM of Fractions is 507756/10.Finally, LCM of Fractions for 76/700, 6681/9010 is 507756/10.