Least Common Multiple of 397/617, 269/821, 889/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 397/617, 269/821, 889/569 quickly i.e. 94938977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 397/617, 269/821, 889/569 is 94938977.

LCM(397/617, 269/821, 889/569) = 94938977

LCM of 397/617, 269/821, 889/569

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 397/617,269/821,889/569

Given numbers are 397/617,269/821,889/569

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 397,269,889

Least Common Multiple of Numerators i.e. LCM of 397,269,889 is 94938977.

GCF of Denominators means GCF of 617,821,569 as per the given fractions.

GCF of 617,821,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 397,269,889

LCM of Fractions 397/617,269/821,889/569 is 94938977

Given numbers has no common factors except 1. So, there LCM is their product i.e 94938977

Least Common Multiple of 397,269,889 with GCF Formula

Least Common Multiple of 397,269,889 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 397,269,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,269,889) = 1

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

GCF(397,269,889) x common factors =1 x 1 = 1

LCM(397,269,889) = ( 397 × 269 × 889 ) / 1

LCM(397,269,889) = 94938977 / 1

LCM(397,269,889) = 94938977


Lets's calculate GCF of 617,821,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94938977/1

Therefore the LCM of Fractions 397/617,269/821,889/569 is 94938977

Greatest Common Factor of 617,821,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,821,569 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 617,821,569 . The biggest common factor number is the GCF number.
So the greatest common factor 617,821,569 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 397/617, 269/821, 889/569

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 397/617, 269/821, 889/569?

Answer: LCM of Numerators as per given numbers 397/617, 269/821, 889/569 is

LCM of Numerators i.e. for 397,269,889 is 94938977

GCF of denominators i.e. for 617,821,569 is 1.

Thus, LCM of Fractions is 94938977.Finally, LCM of Fractions for 397/617, 269/821, 889/569 is 94938977.