Least Common Multiple of 535/98, 493/1639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 535/98, 493/1639 quickly i.e. 263755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 535/98, 493/1639 is 263755.

LCM(535/98, 493/1639) = 263755

LCM of 535/98, 493/1639

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 535/98,493/1639

Given numbers are 535/98,493/1639

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 535,493

Least Common Multiple of Numerators i.e. LCM of 535,493 is 263755.

GCF of Denominators means GCF of 98,1639 as per the given fractions.

GCF of 98,1639 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 535,493

LCM of Fractions 535/98,493/1639 is 263755

Given numbers has no common factors except 1. So, there LCM is their product i.e 263755

Least Common Multiple of 535,493 with GCF Formula

Least Common Multiple of 535,493 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 535,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,493) = 1

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

GCF(535,493) x common factors =1 x 1 = 1

LCM(535,493) = ( 535 × 493 ) / 1

LCM(535,493) = 263755 / 1

LCM(535,493) = 263755


Lets's calculate GCF of 98,1639

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263755/1

Therefore the LCM of Fractions 535/98,493/1639 is 263755

Greatest Common Factor of 98,1639 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,1639 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 1639

List of positive integer factors of 1639 that divides 1639 without a remainder.

1,11,149,1639

Greatest Common Factor

We found the factors 98,1639 . The biggest common factor number is the GCF number.
So the greatest common factor 98,1639 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 535/98, 493/1639

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 535/98, 493/1639?

Answer: LCM of Numerators as per given numbers 535/98, 493/1639 is

LCM of Numerators i.e. for 535,493 is 263755

GCF of denominators i.e. for 98,1639 is 1.

Thus, LCM of Fractions is 263755.Finally, LCM of Fractions for 535/98, 493/1639 is 263755.