Least Common Multiple of 746/73, 573/20, 840/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/73, 573/20, 840/248 quickly i.e. 59844120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/73, 573/20, 840/248 is 59844120.

LCM(746/73, 573/20, 840/248) = 59844120

LCM of 746/73, 573/20, 840/248

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 746/73,573/20,840/248

Given numbers are 746/73,573/20,840/248

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 746,573,840

Least Common Multiple of Numerators i.e. LCM of 746,573,840 is 59844120.

GCF of Denominators means GCF of 73,20,248 as per the given fractions.

GCF of 73,20,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,573,840

LCM of Fractions 746/73,573/20,840/248 is 59844120

2 746, 573, 840
3 373, 573, 420
373, 191, 140

∴ So the LCM of the given numbers is 2 x 3 x 373 x 191 x 140 = 59844120

Least Common Multiple of 746,573,840 with GCF Formula

Least Common Multiple of 746,573,840 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 746,573,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,573,840) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(746,573,840) x common factors =1 x 6 = 6

LCM(746,573,840) = ( 746 × 573 × 840 ) / 6

LCM(746,573,840) = 359064720 / 6

LCM(746,573,840) = 59844120


Lets's calculate GCF of 73,20,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59844120/1

Therefore the LCM of Fractions 746/73,573/20,840/248 is 59844120

Greatest Common Factor of 73,20,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,20,248 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 73,20,248 . The biggest common factor number is the GCF number.
So the greatest common factor 73,20,248 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 746/73, 573/20, 840/248

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 746/73, 573/20, 840/248?

Answer: LCM of Numerators as per given numbers 746/73, 573/20, 840/248 is

LCM of Numerators i.e. for 746,573,840 is 59844120

GCF of denominators i.e. for 73,20,248 is 1.

Thus, LCM of Fractions is 59844120.Finally, LCM of Fractions for 746/73, 573/20, 840/248 is 59844120.