Least Common Multiple of 598/351, 132/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/351, 132/286 quickly i.e. 3036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/351, 132/286 is 3036.

LCM(598/351, 132/286) = 3036

LCM of 598/351, 132/286

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 598/351,132/286

Given numbers are 598/351,132/286

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 598,132

Least Common Multiple of Numerators i.e. LCM of 598,132 is 39468.

GCF of Denominators means GCF of 351,286 as per the given fractions.

GCF of 351,286 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,132

LCM of Fractions 598/351,132/286 is 3036

2 598, 132
299, 66

∴ So the LCM of the given numbers is 2 x 299 x 66 = 39468

Least Common Multiple of 598,132 with GCF Formula

Least Common Multiple of 598,132 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 598,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,132) = 2

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

GCF(598,132) x common factors =2 x 1 = 2

LCM(598,132) = ( 598 × 132 ) / 2

LCM(598,132) = 78936 / 2

LCM(598,132) = 39468


Lets's calculate GCF of 351,286

13 351, 286
27, 22

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39468/13

Therefore the LCM of Fractions 598/351,132/286 is 3036

Greatest Common Factor of 351,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 351,286 By Matching Biggest Common Factor Method

Factors of 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 351,286 . The biggest common factor number is the GCF number.
So the greatest common factor 351,286 is 13.


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 598/351, 132/286

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 598/351, 132/286?

Answer: LCM of Numerators as per given numbers 598/351, 132/286 is

LCM of Numerators i.e. for 598,132 is 39468

GCF of denominators i.e. for 351,286 is 13.

Thus, LCM of Fractions is 3036.Finally, LCM of Fractions for 598/351, 132/286 is 3036.