Least Common Multiple of 598/171, 5635/2610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/171, 5635/2610 quickly i.e. 146510/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/171, 5635/2610 is 146510/9.

LCM(598/171, 5635/2610) = 146510/9

LCM of 598/171, 5635/2610

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 598/171,5635/2610

Given numbers are 598/171,5635/2610

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 598,5635

Least Common Multiple of Numerators i.e. LCM of 598,5635 is 146510.

GCF of Denominators means GCF of 171,2610 as per the given fractions.

GCF of 171,2610 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,5635

LCM of Fractions 598/171,5635/2610 is 146510/9

23 598, 5635
26, 245

∴ So the LCM of the given numbers is 23 x 26 x 245 = 146510

Least Common Multiple of 598,5635 with GCF Formula

Least Common Multiple of 598,5635 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 598,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,5635) = 23

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

GCF(598,5635) x common factors =23 x 1 = 23

LCM(598,5635) = ( 598 × 5635 ) / 23

LCM(598,5635) = 3369730 / 23

LCM(598,5635) = 146510


Lets's calculate GCF of 171,2610

3 171, 2610
3 57, 870
19, 290

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146510/9

Therefore the LCM of Fractions 598/171,5635/2610 is 146510/9

Greatest Common Factor of 171,2610 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,2610 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 2610

List of positive integer factors of 2610 that divides 2610 without a remainder.

1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610

Greatest Common Factor

We found the factors 171,2610 . The biggest common factor number is the GCF number.
So the greatest common factor 171,2610 is 9.


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 598/171, 5635/2610

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 598/171, 5635/2610?

Answer: LCM of Numerators as per given numbers 598/171, 5635/2610 is

LCM of Numerators i.e. for 598,5635 is 146510

GCF of denominators i.e. for 171,2610 is 9.

Thus, LCM of Fractions is 146510/9.Finally, LCM of Fractions for 598/171, 5635/2610 is 146510/9.