Least Common Multiple of 6985/29, 9837/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6985/29, 9837/769 quickly i.e. 68711445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6985/29, 9837/769 is 68711445.

LCM(6985/29, 9837/769) = 68711445

LCM of 6985/29, 9837/769

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 6985/29,9837/769

Given numbers are 6985/29,9837/769

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 6985,9837

Least Common Multiple of Numerators i.e. LCM of 6985,9837 is 68711445.

GCF of Denominators means GCF of 29,769 as per the given fractions.

GCF of 29,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6985,9837

LCM of Fractions 6985/29,9837/769 is 68711445

Given numbers has no common factors except 1. So, there LCM is their product i.e 68711445

Least Common Multiple of 6985,9837 with GCF Formula

Least Common Multiple of 6985,9837 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 6985,9837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6985,9837) = 1

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

GCF(6985,9837) x common factors =1 x 1 = 1

LCM(6985,9837) = ( 6985 × 9837 ) / 1

LCM(6985,9837) = 68711445 / 1

LCM(6985,9837) = 68711445


Lets's calculate GCF of 29,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68711445/1

Therefore the LCM of Fractions 6985/29,9837/769 is 68711445

Greatest Common Factor of 29,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,769 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 29,769 . The biggest common factor number is the GCF number.
So the greatest common factor 29,769 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 6985/29, 9837/769

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 6985/29, 9837/769?

Answer: LCM of Numerators as per given numbers 6985/29, 9837/769 is

LCM of Numerators i.e. for 6985,9837 is 68711445

GCF of denominators i.e. for 29,769 is 1.

Thus, LCM of Fractions is 68711445.Finally, LCM of Fractions for 6985/29, 9837/769 is 68711445.