Least Common Multiple of 4742/923, 3380/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4742/923, 3380/390 quickly i.e. 616460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4742/923, 3380/390 is 616460.

LCM(4742/923, 3380/390) = 616460

LCM of 4742/923, 3380/390

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 4742/923,3380/390

Given numbers are 4742/923,3380/390

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 4742,3380

Least Common Multiple of Numerators i.e. LCM of 4742,3380 is 8013980.

GCF of Denominators means GCF of 923,390 as per the given fractions.

GCF of 923,390 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4742,3380

LCM of Fractions 4742/923,3380/390 is 616460

2 4742, 3380
2371, 1690

∴ So the LCM of the given numbers is 2 x 2371 x 1690 = 8013980

Least Common Multiple of 4742,3380 with GCF Formula

Least Common Multiple of 4742,3380 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 4742,3380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4742,3380) = 2

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

GCF(4742,3380) x common factors =2 x 1 = 2

LCM(4742,3380) = ( 4742 × 3380 ) / 2

LCM(4742,3380) = 16027960 / 2

LCM(4742,3380) = 8013980


Lets's calculate GCF of 923,390

13 923, 390
71, 30

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8013980/13

Therefore the LCM of Fractions 4742/923,3380/390 is 616460

Greatest Common Factor of 923,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 923,390 By Matching Biggest Common Factor Method

Factors of 923

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

1,13,71,923

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 923,390 . The biggest common factor number is the GCF number.
So the greatest common factor 923,390 is 13.


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 4742/923, 3380/390

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 4742/923, 3380/390?

Answer: LCM of Numerators as per given numbers 4742/923, 3380/390 is

LCM of Numerators i.e. for 4742,3380 is 8013980

GCF of denominators i.e. for 923,390 is 13.

Thus, LCM of Fractions is 616460.Finally, LCM of Fractions for 4742/923, 3380/390 is 616460.