Least Common Multiple of 682/48, 598/3503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 682/48, 598/3503 quickly i.e. 203918 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 682/48, 598/3503 is 203918.

LCM(682/48, 598/3503) = 203918

LCM of 682/48, 598/3503

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 682/48,598/3503

Given numbers are 682/48,598/3503

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 682,598

Least Common Multiple of Numerators i.e. LCM of 682,598 is 203918.

GCF of Denominators means GCF of 48,3503 as per the given fractions.

GCF of 48,3503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 682,598

LCM of Fractions 682/48,598/3503 is 203918

2 682, 598
341, 299

∴ So the LCM of the given numbers is 2 x 341 x 299 = 203918

Least Common Multiple of 682,598 with GCF Formula

Least Common Multiple of 682,598 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 682,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(682,598) = 2

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

GCF(682,598) x common factors =2 x 1 = 2

LCM(682,598) = ( 682 × 598 ) / 2

LCM(682,598) = 407836 / 2

LCM(682,598) = 203918


Lets's calculate GCF of 48,3503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203918/1

Therefore the LCM of Fractions 682/48,598/3503 is 203918

Greatest Common Factor of 48,3503 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,3503 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1,31,113,3503

Greatest Common Factor

We found the factors 48,3503 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3503 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 682/48, 598/3503

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 682/48, 598/3503?

Answer: LCM of Numerators as per given numbers 682/48, 598/3503 is

LCM of Numerators i.e. for 682,598 is 203918

GCF of denominators i.e. for 48,3503 is 1.

Thus, LCM of Fractions is 203918.Finally, LCM of Fractions for 682/48, 598/3503 is 203918.