Least Common Multiple of 14/578, 11/137, 553/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/578, 11/137, 553/686 quickly i.e. 12166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/578, 11/137, 553/686 is 12166.

LCM(14/578, 11/137, 553/686) = 12166

LCM of 14/578, 11/137, 553/686

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 14/578,11/137,553/686

Given numbers are 14/578,11/137,553/686

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 14,11,553

Least Common Multiple of Numerators i.e. LCM of 14,11,553 is 12166.

GCF of Denominators means GCF of 578,137,686 as per the given fractions.

GCF of 578,137,686 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,11,553

LCM of Fractions 14/578,11/137,553/686 is 12166

7 14, 11, 553
2, 11, 79

∴ So the LCM of the given numbers is 7 x 2 x 11 x 79 = 12166

Least Common Multiple of 14,11,553 with GCF Formula

Least Common Multiple of 14,11,553 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 14,11,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,11,553) = 1

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

GCF(14,11,553) x common factors =1 x 7 = 7

LCM(14,11,553) = ( 14 × 11 × 553 ) / 7

LCM(14,11,553) = 85162 / 7

LCM(14,11,553) = 12166


Lets's calculate GCF of 578,137,686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12166/1

Therefore the LCM of Fractions 14/578,11/137,553/686 is 12166

Greatest Common Factor of 578,137,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,137,686 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 578,137,686 . The biggest common factor number is the GCF number.
So the greatest common factor 578,137,686 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 14/578, 11/137, 553/686

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 14/578, 11/137, 553/686?

Answer: LCM of Numerators as per given numbers 14/578, 11/137, 553/686 is

LCM of Numerators i.e. for 14,11,553 is 12166

GCF of denominators i.e. for 578,137,686 is 1.

Thus, LCM of Fractions is 12166.Finally, LCM of Fractions for 14/578, 11/137, 553/686 is 12166.