Least Common Multiple of 686/14, 294/15, 974/179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 686/14, 294/15, 974/179 quickly i.e. 1002246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 686/14, 294/15, 974/179 is 1002246.

LCM(686/14, 294/15, 974/179) = 1002246

LCM of 686/14, 294/15, 974/179

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 686/14,294/15,974/179

Given numbers are 686/14,294/15,974/179

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 686,294,974

Least Common Multiple of Numerators i.e. LCM of 686,294,974 is 1002246.

GCF of Denominators means GCF of 14,15,179 as per the given fractions.

GCF of 14,15,179 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 686,294,974

LCM of Fractions 686/14,294/15,974/179 is 1002246

2 686, 294, 974
7 343, 147, 487
7 49, 21, 487
7, 3, 487

∴ So the LCM of the given numbers is 2 x 7 x 7 x 7 x 3 x 487 = 1002246

Least Common Multiple of 686,294,974 with GCF Formula

Least Common Multiple of 686,294,974 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 686,294,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,294,974) = 2

common factors(in case of two or more numbers have common factors) = 98

GCF(686,294,974) x common factors =2 x 98 = 196

LCM(686,294,974) = ( 686 × 294 × 974 ) / 196

LCM(686,294,974) = 196440216 / 196

LCM(686,294,974) = 1002246


Lets's calculate GCF of 14,15,179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002246/1

Therefore the LCM of Fractions 686/14,294/15,974/179 is 1002246

Greatest Common Factor of 14,15,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,15,179 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 14,15,179 . The biggest common factor number is the GCF number.
So the greatest common factor 14,15,179 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 686/14, 294/15, 974/179

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 686/14, 294/15, 974/179?

Answer: LCM of Numerators as per given numbers 686/14, 294/15, 974/179 is

LCM of Numerators i.e. for 686,294,974 is 1002246

GCF of denominators i.e. for 14,15,179 is 1.

Thus, LCM of Fractions is 1002246.Finally, LCM of Fractions for 686/14, 294/15, 974/179 is 1002246.