Least Common Multiple of 570/543, 890/829, 399/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/543, 890/829, 399/617 quickly i.e. 355110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/543, 890/829, 399/617 is 355110.

LCM(570/543, 890/829, 399/617) = 355110

LCM of 570/543, 890/829, 399/617

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 570/543,890/829,399/617

Given numbers are 570/543,890/829,399/617

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 570,890,399

Least Common Multiple of Numerators i.e. LCM of 570,890,399 is 355110.

GCF of Denominators means GCF of 543,829,617 as per the given fractions.

GCF of 543,829,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,890,399

LCM of Fractions 570/543,890/829,399/617 is 355110

2 570, 890, 399
3 285, 445, 399
5 95, 445, 133
19 19, 89, 133
1, 89, 7

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 1 x 89 x 7 = 355110

Least Common Multiple of 570,890,399 with GCF Formula

Least Common Multiple of 570,890,399 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 570,890,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,890,399) = 1

common factors(in case of two or more numbers have common factors) = 570

GCF(570,890,399) x common factors =1 x 570 = 570

LCM(570,890,399) = ( 570 × 890 × 399 ) / 570

LCM(570,890,399) = 202412700 / 570

LCM(570,890,399) = 355110


Lets's calculate GCF of 543,829,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355110/1

Therefore the LCM of Fractions 570/543,890/829,399/617 is 355110

Greatest Common Factor of 543,829,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,829,617 By Matching Biggest Common Factor Method

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 617

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

1,617

Greatest Common Factor

We found the factors 543,829,617 . The biggest common factor number is the GCF number.
So the greatest common factor 543,829,617 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 570/543, 890/829, 399/617

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 570/543, 890/829, 399/617?

Answer: LCM of Numerators as per given numbers 570/543, 890/829, 399/617 is

LCM of Numerators i.e. for 570,890,399 is 355110

GCF of denominators i.e. for 543,829,617 is 1.

Thus, LCM of Fractions is 355110.Finally, LCM of Fractions for 570/543, 890/829, 399/617 is 355110.