Least Common Multiple of 341/72, 266/56, 385/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 341/72, 266/56, 385/923 quickly i.e. 453530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 341/72, 266/56, 385/923 is 453530.

LCM(341/72, 266/56, 385/923) = 453530

LCM of 341/72, 266/56, 385/923

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 341/72,266/56,385/923

Given numbers are 341/72,266/56,385/923

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 341,266,385

Least Common Multiple of Numerators i.e. LCM of 341,266,385 is 453530.

GCF of Denominators means GCF of 72,56,923 as per the given fractions.

GCF of 72,56,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 341,266,385

LCM of Fractions 341/72,266/56,385/923 is 453530

7 341, 266, 385
11 341, 38, 55
31, 38, 5

∴ So the LCM of the given numbers is 7 x 11 x 31 x 38 x 5 = 453530

Least Common Multiple of 341,266,385 with GCF Formula

Least Common Multiple of 341,266,385 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 341,266,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,266,385) = 1

common factors(in case of two or more numbers have common factors) = 77

GCF(341,266,385) x common factors =1 x 77 = 77

LCM(341,266,385) = ( 341 × 266 × 385 ) / 77

LCM(341,266,385) = 34921810 / 77

LCM(341,266,385) = 453530


Lets's calculate GCF of 72,56,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 453530/1

Therefore the LCM of Fractions 341/72,266/56,385/923 is 453530

Greatest Common Factor of 72,56,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,56,923 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 72,56,923 . The biggest common factor number is the GCF number.
So the greatest common factor 72,56,923 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 341/72, 266/56, 385/923

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 341/72, 266/56, 385/923?

Answer: LCM of Numerators as per given numbers 341/72, 266/56, 385/923 is

LCM of Numerators i.e. for 341,266,385 is 453530

GCF of denominators i.e. for 72,56,923 is 1.

Thus, LCM of Fractions is 453530.Finally, LCM of Fractions for 341/72, 266/56, 385/923 is 453530.