Least Common Multiple of 94/704, 47/923, 798/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/704, 47/923, 798/219 quickly i.e. 37506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/704, 47/923, 798/219 is 37506.

LCM(94/704, 47/923, 798/219) = 37506

LCM of 94/704, 47/923, 798/219

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 94/704,47/923,798/219

Given numbers are 94/704,47/923,798/219

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 94,47,798

Least Common Multiple of Numerators i.e. LCM of 94,47,798 is 37506.

GCF of Denominators means GCF of 704,923,219 as per the given fractions.

GCF of 704,923,219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,47,798

LCM of Fractions 94/704,47/923,798/219 is 37506

2 94, 47, 798
47 47, 47, 399
1, 1, 399

∴ So the LCM of the given numbers is 2 x 47 x 1 x 1 x 399 = 37506

Least Common Multiple of 94,47,798 with GCF Formula

Least Common Multiple of 94,47,798 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 94,47,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,47,798) = 1

common factors(in case of two or more numbers have common factors) = 94

GCF(94,47,798) x common factors =1 x 94 = 94

LCM(94,47,798) = ( 94 × 47 × 798 ) / 94

LCM(94,47,798) = 3525564 / 94

LCM(94,47,798) = 37506


Lets's calculate GCF of 704,923,219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37506/1

Therefore the LCM of Fractions 94/704,47/923,798/219 is 37506

Greatest Common Factor of 704,923,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,923,219 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 704,923,219 . The biggest common factor number is the GCF number.
So the greatest common factor 704,923,219 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 94/704, 47/923, 798/219

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 94/704, 47/923, 798/219?

Answer: LCM of Numerators as per given numbers 94/704, 47/923, 798/219 is

LCM of Numerators i.e. for 94,47,798 is 37506

GCF of denominators i.e. for 704,923,219 is 1.

Thus, LCM of Fractions is 37506.Finally, LCM of Fractions for 94/704, 47/923, 798/219 is 37506.