Least Common Multiple of 923/67, 442/37, 390/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 923/67, 442/37, 390/149 quickly i.e. 470730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 923/67, 442/37, 390/149 is 470730.

LCM(923/67, 442/37, 390/149) = 470730

LCM of 923/67, 442/37, 390/149

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 923/67,442/37,390/149

Given numbers are 923/67,442/37,390/149

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 923,442,390

Least Common Multiple of Numerators i.e. LCM of 923,442,390 is 470730.

GCF of Denominators means GCF of 67,37,149 as per the given fractions.

GCF of 67,37,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 923,442,390

LCM of Fractions 923/67,442/37,390/149 is 470730

2 923, 442, 390
13 923, 221, 195
71, 17, 15

∴ So the LCM of the given numbers is 2 x 13 x 71 x 17 x 15 = 470730

Least Common Multiple of 923,442,390 with GCF Formula

Least Common Multiple of 923,442,390 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 923,442,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,442,390) = 13

common factors(in case of two or more numbers have common factors) = 26

GCF(923,442,390) x common factors =13 x 26 = 338

LCM(923,442,390) = ( 923 × 442 × 390 ) / 338

LCM(923,442,390) = 159106740 / 338

LCM(923,442,390) = 470730


Lets's calculate GCF of 67,37,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 470730/1

Therefore the LCM of Fractions 923/67,442/37,390/149 is 470730

Greatest Common Factor of 67,37,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,37,149 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 67,37,149 . The biggest common factor number is the GCF number.
So the greatest common factor 67,37,149 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 923/67, 442/37, 390/149

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 923/67, 442/37, 390/149?

Answer: LCM of Numerators as per given numbers 923/67, 442/37, 390/149 is

LCM of Numerators i.e. for 923,442,390 is 470730

GCF of denominators i.e. for 67,37,149 is 1.

Thus, LCM of Fractions is 470730.Finally, LCM of Fractions for 923/67, 442/37, 390/149 is 470730.