Least Common Multiple of 750/773, 604/838, 450/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/773, 604/838, 450/717 quickly i.e. 679500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/773, 604/838, 450/717 is 679500.

LCM(750/773, 604/838, 450/717) = 679500

LCM of 750/773, 604/838, 450/717

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 750/773,604/838,450/717

Given numbers are 750/773,604/838,450/717

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 750,604,450

Least Common Multiple of Numerators i.e. LCM of 750,604,450 is 679500.

GCF of Denominators means GCF of 773,838,717 as per the given fractions.

GCF of 773,838,717 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,604,450

LCM of Fractions 750/773,604/838,450/717 is 679500

2 750, 604, 450
3 375, 302, 225
5 125, 302, 75
5 25, 302, 15
5, 302, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 5 x 302 x 3 = 679500

Least Common Multiple of 750,604,450 with GCF Formula

Least Common Multiple of 750,604,450 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 750,604,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,604,450) = 2

common factors(in case of two or more numbers have common factors) = 150

GCF(750,604,450) x common factors =2 x 150 = 300

LCM(750,604,450) = ( 750 × 604 × 450 ) / 300

LCM(750,604,450) = 203850000 / 300

LCM(750,604,450) = 679500


Lets's calculate GCF of 773,838,717

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 679500/1

Therefore the LCM of Fractions 750/773,604/838,450/717 is 679500

Greatest Common Factor of 773,838,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,838,717 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 773,838,717 . The biggest common factor number is the GCF number.
So the greatest common factor 773,838,717 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 750/773, 604/838, 450/717

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 750/773, 604/838, 450/717?

Answer: LCM of Numerators as per given numbers 750/773, 604/838, 450/717 is

LCM of Numerators i.e. for 750,604,450 is 679500

GCF of denominators i.e. for 773,838,717 is 1.

Thus, LCM of Fractions is 679500.Finally, LCM of Fractions for 750/773, 604/838, 450/717 is 679500.