Least Common Multiple of 1/687, 77/468, 14/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/687, 77/468, 14/534 quickly i.e. 154/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/687, 77/468, 14/534 is 154/3.

LCM(1/687, 77/468, 14/534) = 154/3

LCM of 1/687, 77/468, 14/534

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 1/687,77/468,14/534

Given numbers are 1/687,77/468,14/534

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 1,77,14

Least Common Multiple of Numerators i.e. LCM of 1,77,14 is 154.

GCF of Denominators means GCF of 687,468,534 as per the given fractions.

GCF of 687,468,534 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,77,14

LCM of Fractions 1/687,77/468,14/534 is 154/3

7 1, 77, 14
1, 11, 2

∴ So the LCM of the given numbers is 7 x 1 x 11 x 2 = 154

Least Common Multiple of 1,77,14 with GCF Formula

Least Common Multiple of 1,77,14 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 1,77,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,77,14) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(1,77,14) x common factors =1 x 7 = 7

LCM(1,77,14) = ( 1 × 77 × 14 ) / 7

LCM(1,77,14) = 1078 / 7

LCM(1,77,14) = 154


Lets's calculate GCF of 687,468,534

3 687, 468, 534
229, 156, 178

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 154/3

Therefore the LCM of Fractions 1/687,77/468,14/534 is 154/3

Greatest Common Factor of 687,468,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 687,468,534 By Matching Biggest Common Factor Method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 687,468,534 . The biggest common factor number is the GCF number.
So the greatest common factor 687,468,534 is 3.


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 1/687, 77/468, 14/534

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 1/687, 77/468, 14/534?

Answer: LCM of Numerators as per given numbers 1/687, 77/468, 14/534 is

LCM of Numerators i.e. for 1,77,14 is 154

GCF of denominators i.e. for 687,468,534 is 3.

Thus, LCM of Fractions is 154/3.Finally, LCM of Fractions for 1/687, 77/468, 14/534 is 154/3.