Least Common Multiple of 496/26, 671/3601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 496/26, 671/3601 quickly i.e. 332816/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 496/26, 671/3601 is 332816/13.

LCM(496/26, 671/3601) = 332816/13

LCM of 496/26, 671/3601

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 496/26,671/3601

Given numbers are 496/26,671/3601

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 496,671

Least Common Multiple of Numerators i.e. LCM of 496,671 is 332816.

GCF of Denominators means GCF of 26,3601 as per the given fractions.

GCF of 26,3601 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 496,671

LCM of Fractions 496/26,671/3601 is 332816/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 332816

Least Common Multiple of 496,671 with GCF Formula

Least Common Multiple of 496,671 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 496,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(496,671) = 1

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

GCF(496,671) x common factors =1 x 1 = 1

LCM(496,671) = ( 496 × 671 ) / 1

LCM(496,671) = 332816 / 1

LCM(496,671) = 332816


Lets's calculate GCF of 26,3601

13 26, 3601
2, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332816/13

Therefore the LCM of Fractions 496/26,671/3601 is 332816/13

Greatest Common Factor of 26,3601 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,3601 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 3601

List of positive integer factors of 3601 that divides 3601 without a remainder.

1,13,277,3601

Greatest Common Factor

We found the factors 26,3601 . The biggest common factor number is the GCF number.
So the greatest common factor 26,3601 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 496/26, 671/3601

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 496/26, 671/3601?

Answer: LCM of Numerators as per given numbers 496/26, 671/3601 is

LCM of Numerators i.e. for 496,671 is 332816

GCF of denominators i.e. for 26,3601 is 13.

Thus, LCM of Fractions is 332816/13.Finally, LCM of Fractions for 496/26, 671/3601 is 332816/13.