Least Common Multiple of 685/601, 498/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 685/601, 498/681 quickly i.e. 341130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/601, 498/681 is 341130.

LCM(685/601, 498/681) = 341130

LCM of 685/601, 498/681

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 685/601,498/681

Given numbers are 685/601,498/681

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 685,498

Least Common Multiple of Numerators i.e. LCM of 685,498 is 341130.

GCF of Denominators means GCF of 601,681 as per the given fractions.

GCF of 601,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,498

LCM of Fractions 685/601,498/681 is 341130

Given numbers has no common factors except 1. So, there LCM is their product i.e 341130

Least Common Multiple of 685,498 with GCF Formula

Least Common Multiple of 685,498 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 685,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,498) = 1

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

GCF(685,498) x common factors =1 x 1 = 1

LCM(685,498) = ( 685 × 498 ) / 1

LCM(685,498) = 341130 / 1

LCM(685,498) = 341130


Lets's calculate GCF of 601,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341130/1

Therefore the LCM of Fractions 685/601,498/681 is 341130

Greatest Common Factor of 601,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 601,681 By Matching Biggest Common Factor Method

Factors of 601

List of positive integer factors of 601 that divides 601 without a remainder.

1,601

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 601,681 . The biggest common factor number is the GCF number.
So the greatest common factor 601,681 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 685/601, 498/681

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 685/601, 498/681?

Answer: LCM of Numerators as per given numbers 685/601, 498/681 is

LCM of Numerators i.e. for 685,498 is 341130

GCF of denominators i.e. for 601,681 is 1.

Thus, LCM of Fractions is 341130.Finally, LCM of Fractions for 685/601, 498/681 is 341130.