Least Common Multiple of 17/974, 2567/3509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/974, 2567/3509 quickly i.e. 2567 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/974, 2567/3509 is 2567.

LCM(17/974, 2567/3509) = 2567

LCM of 17/974, 2567/3509

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 17/974,2567/3509

Given numbers are 17/974,2567/3509

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 17,2567

Least Common Multiple of Numerators i.e. LCM of 17,2567 is 2567.

GCF of Denominators means GCF of 974,3509 as per the given fractions.

GCF of 974,3509 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,2567

LCM of Fractions 17/974,2567/3509 is 2567

17 17, 2567
1, 151

∴ So the LCM of the given numbers is 17 x 1 x 151 = 2567

Least Common Multiple of 17,2567 with GCF Formula

Least Common Multiple of 17,2567 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 17,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,2567) = 17

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

GCF(17,2567) x common factors =17 x 1 = 17

LCM(17,2567) = ( 17 × 2567 ) / 17

LCM(17,2567) = 43639 / 17

LCM(17,2567) = 2567


Lets's calculate GCF of 974,3509

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2567/1

Therefore the LCM of Fractions 17/974,2567/3509 is 2567

Greatest Common Factor of 974,3509 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,3509 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 3509

List of positive integer factors of 3509 that divides 3509 without a remainder.

1,11,29,121,319,3509

Greatest Common Factor

We found the factors 974,3509 . The biggest common factor number is the GCF number.
So the greatest common factor 974,3509 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 17/974, 2567/3509

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 17/974, 2567/3509?

Answer: LCM of Numerators as per given numbers 17/974, 2567/3509 is

LCM of Numerators i.e. for 17,2567 is 2567

GCF of denominators i.e. for 974,3509 is 1.

Thus, LCM of Fractions is 2567.Finally, LCM of Fractions for 17/974, 2567/3509 is 2567.