Least Common Multiple of 578/764, 5301/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/764, 5301/784 quickly i.e. 3063978/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/764, 5301/784 is 3063978/4.

LCM(578/764, 5301/784) = 3063978/4

LCM of 578/764, 5301/784

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 578/764,5301/784

Given numbers are 578/764,5301/784

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 578,5301

Least Common Multiple of Numerators i.e. LCM of 578,5301 is 3063978.

GCF of Denominators means GCF of 764,784 as per the given fractions.

GCF of 764,784 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,5301

LCM of Fractions 578/764,5301/784 is 3063978/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 3063978

Least Common Multiple of 578,5301 with GCF Formula

Least Common Multiple of 578,5301 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 578,5301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,5301) = 1

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

GCF(578,5301) x common factors =1 x 1 = 1

LCM(578,5301) = ( 578 × 5301 ) / 1

LCM(578,5301) = 3063978 / 1

LCM(578,5301) = 3063978


Lets's calculate GCF of 764,784

2 764, 784
2 382, 392
191, 196

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3063978/4

Therefore the LCM of Fractions 578/764,5301/784 is 3063978/4

Greatest Common Factor of 764,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,784 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 764,784 . The biggest common factor number is the GCF number.
So the greatest common factor 764,784 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 578/764, 5301/784

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 578/764, 5301/784?

Answer: LCM of Numerators as per given numbers 578/764, 5301/784 is

LCM of Numerators i.e. for 578,5301 is 3063978

GCF of denominators i.e. for 764,784 is 4.

Thus, LCM of Fractions is 3063978/4.Finally, LCM of Fractions for 578/764, 5301/784 is 3063978/4.