Least Common Multiple of 649/78, 496/14, 803/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 649/78, 496/14, 803/596 quickly i.e. 11749496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 649/78, 496/14, 803/596 is 11749496.

LCM(649/78, 496/14, 803/596) = 11749496

LCM of 649/78, 496/14, 803/596

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 649/78,496/14,803/596

Given numbers are 649/78,496/14,803/596

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 649,496,803

Least Common Multiple of Numerators i.e. LCM of 649,496,803 is 23498992.

GCF of Denominators means GCF of 78,14,596 as per the given fractions.

GCF of 78,14,596 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 649,496,803

LCM of Fractions 649/78,496/14,803/596 is 11749496

11 649, 496, 803
59, 496, 73

∴ So the LCM of the given numbers is 11 x 59 x 496 x 73 = 23498992

Least Common Multiple of 649,496,803 with GCF Formula

Least Common Multiple of 649,496,803 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 649,496,803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,496,803) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(649,496,803) x common factors =1 x 11 = 11

LCM(649,496,803) = ( 649 × 496 × 803 ) / 11

LCM(649,496,803) = 258488912 / 11

LCM(649,496,803) = 23498992


Lets's calculate GCF of 78,14,596

2 78, 14, 596
39, 7, 298

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23498992/2

Therefore the LCM of Fractions 649/78,496/14,803/596 is 11749496

Greatest Common Factor of 78,14,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,14,596 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 14

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

1,2,7,14

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 78,14,596 . The biggest common factor number is the GCF number.
So the greatest common factor 78,14,596 is 2.


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 649/78, 496/14, 803/596

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 649/78, 496/14, 803/596?

Answer: LCM of Numerators as per given numbers 649/78, 496/14, 803/596 is

LCM of Numerators i.e. for 649,496,803 is 23498992

GCF of denominators i.e. for 78,14,596 is 2.

Thus, LCM of Fractions is 11749496.Finally, LCM of Fractions for 649/78, 496/14, 803/596 is 11749496.