Least Common Multiple of 253/562, 920/883, 717/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/562, 920/883, 717/330 quickly i.e. 7256040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/562, 920/883, 717/330 is 7256040.

LCM(253/562, 920/883, 717/330) = 7256040

LCM of 253/562, 920/883, 717/330

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 253/562,920/883,717/330

Given numbers are 253/562,920/883,717/330

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 253,920,717

Least Common Multiple of Numerators i.e. LCM of 253,920,717 is 7256040.

GCF of Denominators means GCF of 562,883,330 as per the given fractions.

GCF of 562,883,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,920,717

LCM of Fractions 253/562,920/883,717/330 is 7256040

23 253, 920, 717
11, 40, 717

∴ So the LCM of the given numbers is 23 x 11 x 40 x 717 = 7256040

Least Common Multiple of 253,920,717 with GCF Formula

Least Common Multiple of 253,920,717 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 253,920,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,920,717) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(253,920,717) x common factors =1 x 23 = 23

LCM(253,920,717) = ( 253 × 920 × 717 ) / 23

LCM(253,920,717) = 166888920 / 23

LCM(253,920,717) = 7256040


Lets's calculate GCF of 562,883,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7256040/1

Therefore the LCM of Fractions 253/562,920/883,717/330 is 7256040

Greatest Common Factor of 562,883,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,883,330 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 562,883,330 . The biggest common factor number is the GCF number.
So the greatest common factor 562,883,330 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 253/562, 920/883, 717/330

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 253/562, 920/883, 717/330?

Answer: LCM of Numerators as per given numbers 253/562, 920/883, 717/330 is

LCM of Numerators i.e. for 253,920,717 is 7256040

GCF of denominators i.e. for 562,883,330 is 1.

Thus, LCM of Fractions is 7256040.Finally, LCM of Fractions for 253/562, 920/883, 717/330 is 7256040.