Least Common Multiple of 86/51, 61/47, 649/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/51, 61/47, 649/981 quickly i.e. 3404654 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/51, 61/47, 649/981 is 3404654.

LCM(86/51, 61/47, 649/981) = 3404654

LCM of 86/51, 61/47, 649/981

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 86/51,61/47,649/981

Given numbers are 86/51,61/47,649/981

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 86,61,649

Least Common Multiple of Numerators i.e. LCM of 86,61,649 is 3404654.

GCF of Denominators means GCF of 51,47,981 as per the given fractions.

GCF of 51,47,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,61,649

LCM of Fractions 86/51,61/47,649/981 is 3404654

Given numbers has no common factors except 1. So, there LCM is their product i.e 3404654

Least Common Multiple of 86,61,649 with GCF Formula

Least Common Multiple of 86,61,649 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 86,61,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,61,649) = 1

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

GCF(86,61,649) x common factors =1 x 1 = 1

LCM(86,61,649) = ( 86 × 61 × 649 ) / 1

LCM(86,61,649) = 3404654 / 1

LCM(86,61,649) = 3404654


Lets's calculate GCF of 51,47,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3404654/1

Therefore the LCM of Fractions 86/51,61/47,649/981 is 3404654

Greatest Common Factor of 51,47,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,47,981 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 51,47,981 . The biggest common factor number is the GCF number.
So the greatest common factor 51,47,981 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 86/51, 61/47, 649/981

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 86/51, 61/47, 649/981?

Answer: LCM of Numerators as per given numbers 86/51, 61/47, 649/981 is

LCM of Numerators i.e. for 86,61,649 is 3404654

GCF of denominators i.e. for 51,47,981 is 1.

Thus, LCM of Fractions is 3404654.Finally, LCM of Fractions for 86/51, 61/47, 649/981 is 3404654.