Least Common Multiple of 612/14, 116/51, 986/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/14, 116/51, 986/564 quickly i.e. 17748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/14, 116/51, 986/564 is 17748.

LCM(612/14, 116/51, 986/564) = 17748

LCM of 612/14, 116/51, 986/564

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 612/14,116/51,986/564

Given numbers are 612/14,116/51,986/564

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 612,116,986

Least Common Multiple of Numerators i.e. LCM of 612,116,986 is 17748.

GCF of Denominators means GCF of 14,51,564 as per the given fractions.

GCF of 14,51,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,116,986

LCM of Fractions 612/14,116/51,986/564 is 17748

2 612, 116, 986
2 306, 58, 493
17 153, 29, 493
29 9, 29, 29
9, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 17 x 29 x 9 x 1 x 1 = 17748

Least Common Multiple of 612,116,986 with GCF Formula

Least Common Multiple of 612,116,986 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 612,116,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,116,986) = 2

common factors(in case of two or more numbers have common factors) = 1972

GCF(612,116,986) x common factors =2 x 1972 = 3944

LCM(612,116,986) = ( 612 × 116 × 986 ) / 3944

LCM(612,116,986) = 69998112 / 3944

LCM(612,116,986) = 17748


Lets's calculate GCF of 14,51,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17748/1

Therefore the LCM of Fractions 612/14,116/51,986/564 is 17748

Greatest Common Factor of 14,51,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,51,564 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 51

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

1,3,17,51

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 14,51,564 . The biggest common factor number is the GCF number.
So the greatest common factor 14,51,564 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 612/14, 116/51, 986/564

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 612/14, 116/51, 986/564?

Answer: LCM of Numerators as per given numbers 612/14, 116/51, 986/564 is

LCM of Numerators i.e. for 612,116,986 is 17748

GCF of denominators i.e. for 14,51,564 is 1.

Thus, LCM of Fractions is 17748.Finally, LCM of Fractions for 612/14, 116/51, 986/564 is 17748.