Least Common Multiple of 971/749, 5169/6969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/749, 5169/6969 quickly i.e. 5019099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/749, 5169/6969 is 5019099.

LCM(971/749, 5169/6969) = 5019099

LCM of 971/749, 5169/6969

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 971/749,5169/6969

Given numbers are 971/749,5169/6969

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 971,5169

Least Common Multiple of Numerators i.e. LCM of 971,5169 is 5019099.

GCF of Denominators means GCF of 749,6969 as per the given fractions.

GCF of 749,6969 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,5169

LCM of Fractions 971/749,5169/6969 is 5019099

Given numbers has no common factors except 1. So, there LCM is their product i.e 5019099

Least Common Multiple of 971,5169 with GCF Formula

Least Common Multiple of 971,5169 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 971,5169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,5169) = 1

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

GCF(971,5169) x common factors =1 x 1 = 1

LCM(971,5169) = ( 971 × 5169 ) / 1

LCM(971,5169) = 5019099 / 1

LCM(971,5169) = 5019099


Lets's calculate GCF of 749,6969

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5019099/1

Therefore the LCM of Fractions 971/749,5169/6969 is 5019099

Greatest Common Factor of 749,6969 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,6969 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 6969

List of positive integer factors of 6969 that divides 6969 without a remainder.

1,3,23,69,101,303,2323,6969

Greatest Common Factor

We found the factors 749,6969 . The biggest common factor number is the GCF number.
So the greatest common factor 749,6969 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 971/749, 5169/6969

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 971/749, 5169/6969?

Answer: LCM of Numerators as per given numbers 971/749, 5169/6969 is

LCM of Numerators i.e. for 971,5169 is 5019099

GCF of denominators i.e. for 749,6969 is 1.

Thus, LCM of Fractions is 5019099.Finally, LCM of Fractions for 971/749, 5169/6969 is 5019099.