Least Common Multiple of 5790/633, 6433/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5790/633, 6433/428 quickly i.e. 37247070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5790/633, 6433/428 is 37247070.

LCM(5790/633, 6433/428) = 37247070

LCM of 5790/633, 6433/428

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 5790/633,6433/428

Given numbers are 5790/633,6433/428

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 5790,6433

Least Common Multiple of Numerators i.e. LCM of 5790,6433 is 37247070.

GCF of Denominators means GCF of 633,428 as per the given fractions.

GCF of 633,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5790,6433

LCM of Fractions 5790/633,6433/428 is 37247070

Given numbers has no common factors except 1. So, there LCM is their product i.e 37247070

Least Common Multiple of 5790,6433 with GCF Formula

Least Common Multiple of 5790,6433 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 5790,6433 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5790,6433) = 1

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

GCF(5790,6433) x common factors =1 x 1 = 1

LCM(5790,6433) = ( 5790 × 6433 ) / 1

LCM(5790,6433) = 37247070 / 1

LCM(5790,6433) = 37247070


Lets's calculate GCF of 633,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37247070/1

Therefore the LCM of Fractions 5790/633,6433/428 is 37247070

Greatest Common Factor of 633,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,428 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

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 633,428 . The biggest common factor number is the GCF number.
So the greatest common factor 633,428 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5790/633, 6433/428

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 5790/633, 6433/428?

Answer: LCM of Numerators as per given numbers 5790/633, 6433/428 is

LCM of Numerators i.e. for 5790,6433 is 37247070

GCF of denominators i.e. for 633,428 is 1.

Thus, LCM of Fractions is 37247070.Finally, LCM of Fractions for 5790/633, 6433/428 is 37247070.