Least Common Multiple of 580/315, 298/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/315, 298/175 quickly i.e. 86420/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/315, 298/175 is 86420/35.

LCM(580/315, 298/175) = 86420/35

LCM of 580/315, 298/175

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 580/315,298/175

Given numbers are 580/315,298/175

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 580,298

Least Common Multiple of Numerators i.e. LCM of 580,298 is 86420.

GCF of Denominators means GCF of 315,175 as per the given fractions.

GCF of 315,175 is 35 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,298

LCM of Fractions 580/315,298/175 is 86420/35

2 580, 298
290, 149

∴ So the LCM of the given numbers is 2 x 290 x 149 = 86420

Least Common Multiple of 580,298 with GCF Formula

Least Common Multiple of 580,298 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 580,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,298) = 2

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

GCF(580,298) x common factors =2 x 1 = 2

LCM(580,298) = ( 580 × 298 ) / 2

LCM(580,298) = 172840 / 2

LCM(580,298) = 86420


Lets's calculate GCF of 315,175

5 315, 175
7 63, 35
9, 5

∴ So the GCF of the given numbers is 5 x 7 = 35

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86420/35

Therefore the LCM of Fractions 580/315,298/175 is 86420/35

Greatest Common Factor of 315,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,175 By Matching Biggest Common Factor Method

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 315,175 . The biggest common factor number is the GCF number.
So the greatest common factor 315,175 is 35.


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 580/315, 298/175

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 580/315, 298/175?

Answer: LCM of Numerators as per given numbers 580/315, 298/175 is

LCM of Numerators i.e. for 580,298 is 86420

GCF of denominators i.e. for 315,175 is 35.

Thus, LCM of Fractions is 86420/35.Finally, LCM of Fractions for 580/315, 298/175 is 86420/35.