Least Common Multiple of 2/749, 78/194, 19/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2/749, 78/194, 19/978 quickly i.e. 1482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2/749, 78/194, 19/978 is 1482.

LCM(2/749, 78/194, 19/978) = 1482

LCM of 2/749, 78/194, 19/978

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 2/749,78/194,19/978

Given numbers are 2/749,78/194,19/978

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 2,78,19

Least Common Multiple of Numerators i.e. LCM of 2,78,19 is 1482.

GCF of Denominators means GCF of 749,194,978 as per the given fractions.

GCF of 749,194,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2,78,19

LCM of Fractions 2/749,78/194,19/978 is 1482

2 2, 78, 19
1, 39, 19

∴ So the LCM of the given numbers is 2 x 1 x 39 x 19 = 1482

Least Common Multiple of 2,78,19 with GCF Formula

Least Common Multiple of 2,78,19 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 2,78,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2,78,19) = 1

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

GCF(2,78,19) x common factors =1 x 2 = 2

LCM(2,78,19) = ( 2 × 78 × 19 ) / 2

LCM(2,78,19) = 2964 / 2

LCM(2,78,19) = 1482


Lets's calculate GCF of 749,194,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1482/1

Therefore the LCM of Fractions 2/749,78/194,19/978 is 1482

Greatest Common Factor of 749,194,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 749,194,978 By Matching Biggest Common Factor Method

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 749,194,978 . The biggest common factor number is the GCF number.
So the greatest common factor 749,194,978 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 2/749, 78/194, 19/978

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 2/749, 78/194, 19/978?

Answer: LCM of Numerators as per given numbers 2/749, 78/194, 19/978 is

LCM of Numerators i.e. for 2,78,19 is 1482

GCF of denominators i.e. for 749,194,978 is 1.

Thus, LCM of Fractions is 1482.Finally, LCM of Fractions for 2/749, 78/194, 19/978 is 1482.