Least Common Multiple of 1209/974, 8743/1045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1209/974, 8743/1045 quickly i.e. 10570287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1209/974, 8743/1045 is 10570287.

LCM(1209/974, 8743/1045) = 10570287

LCM of 1209/974, 8743/1045

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 1209/974,8743/1045

Given numbers are 1209/974,8743/1045

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 1209,8743

Least Common Multiple of Numerators i.e. LCM of 1209,8743 is 10570287.

GCF of Denominators means GCF of 974,1045 as per the given fractions.

GCF of 974,1045 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1209,8743

LCM of Fractions 1209/974,8743/1045 is 10570287

Given numbers has no common factors except 1. So, there LCM is their product i.e 10570287

Least Common Multiple of 1209,8743 with GCF Formula

Least Common Multiple of 1209,8743 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 1209,8743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1209,8743) = 1

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

GCF(1209,8743) x common factors =1 x 1 = 1

LCM(1209,8743) = ( 1209 × 8743 ) / 1

LCM(1209,8743) = 10570287 / 1

LCM(1209,8743) = 10570287


Lets's calculate GCF of 974,1045

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10570287/1

Therefore the LCM of Fractions 1209/974,8743/1045 is 10570287

Greatest Common Factor of 974,1045 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,1045 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 1045

List of positive integer factors of 1045 that divides 1045 without a remainder.

1,5,11,19,55,95,209,1045

Greatest Common Factor

We found the factors 974,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 974,1045 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 1209/974, 8743/1045

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 1209/974, 8743/1045?

Answer: LCM of Numerators as per given numbers 1209/974, 8743/1045 is

LCM of Numerators i.e. for 1209,8743 is 10570287

GCF of denominators i.e. for 974,1045 is 1.

Thus, LCM of Fractions is 10570287.Finally, LCM of Fractions for 1209/974, 8743/1045 is 10570287.