Least Common Multiple of 817/77, 597/7539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/77, 597/7539 quickly i.e. 487749/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/77, 597/7539 is 487749/7.

LCM(817/77, 597/7539) = 487749/7

LCM of 817/77, 597/7539

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 817/77,597/7539

Given numbers are 817/77,597/7539

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 817,597

Least Common Multiple of Numerators i.e. LCM of 817,597 is 487749.

GCF of Denominators means GCF of 77,7539 as per the given fractions.

GCF of 77,7539 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,597

LCM of Fractions 817/77,597/7539 is 487749/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 487749

Least Common Multiple of 817,597 with GCF Formula

Least Common Multiple of 817,597 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 817,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,597) = 1

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

GCF(817,597) x common factors =1 x 1 = 1

LCM(817,597) = ( 817 × 597 ) / 1

LCM(817,597) = 487749 / 1

LCM(817,597) = 487749


Lets's calculate GCF of 77,7539

7 77, 7539
11, 1077

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 487749/7

Therefore the LCM of Fractions 817/77,597/7539 is 487749/7

Greatest Common Factor of 77,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,7539 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 77,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 77,7539 is 7.


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 817/77, 597/7539

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 817/77, 597/7539?

Answer: LCM of Numerators as per given numbers 817/77, 597/7539 is

LCM of Numerators i.e. for 817,597 is 487749

GCF of denominators i.e. for 77,7539 is 7.

Thus, LCM of Fractions is 487749/7.Finally, LCM of Fractions for 817/77, 597/7539 is 487749/7.