Least Common Multiple of 649/14, 974/13, 368/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/14, 974/13, 368/645 quickly i.e. 116311184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/14, 974/13, 368/645 is 116311184.

LCM(649/14, 974/13, 368/645) = 116311184

LCM of 649/14, 974/13, 368/645

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 649/14,974/13,368/645

Given numbers are 649/14,974/13,368/645

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 649,974,368

Least Common Multiple of Numerators i.e. LCM of 649,974,368 is 116311184.

GCF of Denominators means GCF of 14,13,645 as per the given fractions.

GCF of 14,13,645 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,974,368

LCM of Fractions 649/14,974/13,368/645 is 116311184

2 649, 974, 368
649, 487, 184

∴ So the LCM of the given numbers is 2 x 649 x 487 x 184 = 116311184

Least Common Multiple of 649,974,368 with GCF Formula

Least Common Multiple of 649,974,368 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 649,974,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,974,368) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(649,974,368) x common factors =1 x 2 = 2

LCM(649,974,368) = ( 649 × 974 × 368 ) / 2

LCM(649,974,368) = 232622368 / 2

LCM(649,974,368) = 116311184


Lets's calculate GCF of 14,13,645

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116311184/1

Therefore the LCM of Fractions 649/14,974/13,368/645 is 116311184

Greatest Common Factor of 14,13,645 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,13,645 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 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Greatest Common Factor

We found the factors 14,13,645 . The biggest common factor number is the GCF number.
So the greatest common factor 14,13,645 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 649/14, 974/13, 368/645

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 649/14, 974/13, 368/645?

Answer: LCM of Numerators as per given numbers 649/14, 974/13, 368/645 is

LCM of Numerators i.e. for 649,974,368 is 116311184

GCF of denominators i.e. for 14,13,645 is 1.

Thus, LCM of Fractions is 116311184.Finally, LCM of Fractions for 649/14, 974/13, 368/645 is 116311184.