Least Common Multiple of 719/904, 467/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/904, 467/428 quickly i.e. 335773/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/904, 467/428 is 335773/4.

LCM(719/904, 467/428) = 335773/4

LCM of 719/904, 467/428

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 719/904,467/428

Given numbers are 719/904,467/428

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 719,467

Least Common Multiple of Numerators i.e. LCM of 719,467 is 335773.

GCF of Denominators means GCF of 904,428 as per the given fractions.

GCF of 904,428 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,467

LCM of Fractions 719/904,467/428 is 335773/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 335773

Least Common Multiple of 719,467 with GCF Formula

Least Common Multiple of 719,467 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 719,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,467) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(719,467) x common factors =1 x 1 = 1

LCM(719,467) = ( 719 × 467 ) / 1

LCM(719,467) = 335773 / 1

LCM(719,467) = 335773


Lets's calculate GCF of 904,428

2 904, 428
2 452, 214
226, 107

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335773/4

Therefore the LCM of Fractions 719/904,467/428 is 335773/4

Greatest Common Factor of 904,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,428 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 904,428 . The biggest common factor number is the GCF number.
So the greatest common factor 904,428 is 4.


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 719/904, 467/428

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 719/904, 467/428?

Answer: LCM of Numerators as per given numbers 719/904, 467/428 is

LCM of Numerators i.e. for 719,467 is 335773

GCF of denominators i.e. for 904,428 is 4.

Thus, LCM of Fractions is 335773/4.Finally, LCM of Fractions for 719/904, 467/428 is 335773/4.