Least Common Multiple of 580/743, 9448/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/743, 9448/152 quickly i.e. 1369960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/743, 9448/152 is 1369960.

LCM(580/743, 9448/152) = 1369960

LCM of 580/743, 9448/152

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 580/743,9448/152

Given numbers are 580/743,9448/152

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 580,9448

Least Common Multiple of Numerators i.e. LCM of 580,9448 is 1369960.

GCF of Denominators means GCF of 743,152 as per the given fractions.

GCF of 743,152 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,9448

LCM of Fractions 580/743,9448/152 is 1369960

2 580, 9448
2 290, 4724
145, 2362

∴ So the LCM of the given numbers is 2 x 2 x 145 x 2362 = 1369960

Least Common Multiple of 580,9448 with GCF Formula

Least Common Multiple of 580,9448 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 580,9448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,9448) = 4

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

GCF(580,9448) x common factors =4 x 1 = 4

LCM(580,9448) = ( 580 × 9448 ) / 4

LCM(580,9448) = 5479840 / 4

LCM(580,9448) = 1369960


Lets's calculate GCF of 743,152

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1369960/1

Therefore the LCM of Fractions 580/743,9448/152 is 1369960

Greatest Common Factor of 743,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,152 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 743,152 . The biggest common factor number is the GCF number.
So the greatest common factor 743,152 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 580/743, 9448/152

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 580/743, 9448/152?

Answer: LCM of Numerators as per given numbers 580/743, 9448/152 is

LCM of Numerators i.e. for 580,9448 is 1369960

GCF of denominators i.e. for 743,152 is 1.

Thus, LCM of Fractions is 1369960.Finally, LCM of Fractions for 580/743, 9448/152 is 1369960.