Least Common Multiple of 909/74, 817/1069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 909/74, 817/1069 quickly i.e. 742653 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 909/74, 817/1069 is 742653.

LCM(909/74, 817/1069) = 742653

LCM of 909/74, 817/1069

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 909/74,817/1069

Given numbers are 909/74,817/1069

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 909,817

Least Common Multiple of Numerators i.e. LCM of 909,817 is 742653.

GCF of Denominators means GCF of 74,1069 as per the given fractions.

GCF of 74,1069 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 909,817

LCM of Fractions 909/74,817/1069 is 742653

Given numbers has no common factors except 1. So, there LCM is their product i.e 742653

Least Common Multiple of 909,817 with GCF Formula

Least Common Multiple of 909,817 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 909,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,817) = 1

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

GCF(909,817) x common factors =1 x 1 = 1

LCM(909,817) = ( 909 × 817 ) / 1

LCM(909,817) = 742653 / 1

LCM(909,817) = 742653


Lets's calculate GCF of 74,1069

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 742653/1

Therefore the LCM of Fractions 909/74,817/1069 is 742653

Greatest Common Factor of 74,1069 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,1069 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 1069

List of positive integer factors of 1069 that divides 1069 without a remainder.

1,1069

Greatest Common Factor

We found the factors 74,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 74,1069 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 909/74, 817/1069

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 909/74, 817/1069?

Answer: LCM of Numerators as per given numbers 909/74, 817/1069 is

LCM of Numerators i.e. for 909,817 is 742653

GCF of denominators i.e. for 74,1069 is 1.

Thus, LCM of Fractions is 742653.Finally, LCM of Fractions for 909/74, 817/1069 is 742653.