Least Common Multiple of 661/26, 383/5698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 661/26, 383/5698 quickly i.e. 253163/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 661/26, 383/5698 is 253163/2.

LCM(661/26, 383/5698) = 253163/2

LCM of 661/26, 383/5698

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 661/26,383/5698

Given numbers are 661/26,383/5698

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 661,383

Least Common Multiple of Numerators i.e. LCM of 661,383 is 253163.

GCF of Denominators means GCF of 26,5698 as per the given fractions.

GCF of 26,5698 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 661,383

LCM of Fractions 661/26,383/5698 is 253163/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 253163

Least Common Multiple of 661,383 with GCF Formula

Least Common Multiple of 661,383 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 661,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,383) = 1

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

GCF(661,383) x common factors =1 x 1 = 1

LCM(661,383) = ( 661 × 383 ) / 1

LCM(661,383) = 253163 / 1

LCM(661,383) = 253163


Lets's calculate GCF of 26,5698

2 26, 5698
13, 2849

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253163/2

Therefore the LCM of Fractions 661/26,383/5698 is 253163/2

Greatest Common Factor of 26,5698 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,5698 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 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698

Greatest Common Factor

We found the factors 26,5698 . The biggest common factor number is the GCF number.
So the greatest common factor 26,5698 is 2.


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Frequently Asked Questions on Fractional LCM of 661/26, 383/5698

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 661/26, 383/5698?

Answer: LCM of Numerators as per given numbers 661/26, 383/5698 is

LCM of Numerators i.e. for 661,383 is 253163

GCF of denominators i.e. for 26,5698 is 2.

Thus, LCM of Fractions is 253163/2.Finally, LCM of Fractions for 661/26, 383/5698 is 253163/2.