Least Common Multiple of 424/628, 3763/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/628, 3763/923 quickly i.e. 30104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/628, 3763/923 is 30104.

LCM(424/628, 3763/923) = 30104

LCM of 424/628, 3763/923

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 424/628,3763/923

Given numbers are 424/628,3763/923

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 424,3763

Least Common Multiple of Numerators i.e. LCM of 424,3763 is 30104.

GCF of Denominators means GCF of 628,923 as per the given fractions.

GCF of 628,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,3763

LCM of Fractions 424/628,3763/923 is 30104

53 424, 3763
8, 71

∴ So the LCM of the given numbers is 53 x 8 x 71 = 30104

Least Common Multiple of 424,3763 with GCF Formula

Least Common Multiple of 424,3763 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 424,3763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,3763) = 53

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

GCF(424,3763) x common factors =53 x 1 = 53

LCM(424,3763) = ( 424 × 3763 ) / 53

LCM(424,3763) = 1595512 / 53

LCM(424,3763) = 30104


Lets's calculate GCF of 628,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30104/1

Therefore the LCM of Fractions 424/628,3763/923 is 30104

Greatest Common Factor of 628,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,923 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 923

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

1,13,71,923

Greatest Common Factor

We found the factors 628,923 . The biggest common factor number is the GCF number.
So the greatest common factor 628,923 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 424/628, 3763/923

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 424/628, 3763/923?

Answer: LCM of Numerators as per given numbers 424/628, 3763/923 is

LCM of Numerators i.e. for 424,3763 is 30104

GCF of denominators i.e. for 628,923 is 1.

Thus, LCM of Fractions is 30104.Finally, LCM of Fractions for 424/628, 3763/923 is 30104.