Least Common Multiple of 819/126, 7681/4869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/126, 7681/4869 quickly i.e. 698971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/126, 7681/4869 is 698971.

LCM(819/126, 7681/4869) = 698971

LCM of 819/126, 7681/4869

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 819/126,7681/4869

Given numbers are 819/126,7681/4869

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 819,7681

Least Common Multiple of Numerators i.e. LCM of 819,7681 is 6290739.

GCF of Denominators means GCF of 126,4869 as per the given fractions.

GCF of 126,4869 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,7681

LCM of Fractions 819/126,7681/4869 is 698971

Given numbers has no common factors except 1. So, there LCM is their product i.e 6290739

Least Common Multiple of 819,7681 with GCF Formula

Least Common Multiple of 819,7681 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 819,7681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,7681) = 1

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

GCF(819,7681) x common factors =1 x 1 = 1

LCM(819,7681) = ( 819 × 7681 ) / 1

LCM(819,7681) = 6290739 / 1

LCM(819,7681) = 6290739


Lets's calculate GCF of 126,4869

3 126, 4869
3 42, 1623
14, 541

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6290739/9

Therefore the LCM of Fractions 819/126,7681/4869 is 698971

Greatest Common Factor of 126,4869 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,4869 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 4869

List of positive integer factors of 4869 that divides 4869 without a remainder.

1,3,9,541,1623,4869

Greatest Common Factor

We found the factors 126,4869 . The biggest common factor number is the GCF number.
So the greatest common factor 126,4869 is 9.


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 819/126, 7681/4869

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 819/126, 7681/4869?

Answer: LCM of Numerators as per given numbers 819/126, 7681/4869 is

LCM of Numerators i.e. for 819,7681 is 6290739

GCF of denominators i.e. for 126,4869 is 9.

Thus, LCM of Fractions is 698971.Finally, LCM of Fractions for 819/126, 7681/4869 is 698971.