Least Common Multiple of 926/15, 341/72, 609/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 926/15, 341/72, 609/377 quickly i.e. 192301494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 926/15, 341/72, 609/377 is 192301494.

LCM(926/15, 341/72, 609/377) = 192301494

LCM of 926/15, 341/72, 609/377

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 926/15,341/72,609/377

Given numbers are 926/15,341/72,609/377

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 926,341,609

Least Common Multiple of Numerators i.e. LCM of 926,341,609 is 192301494.

GCF of Denominators means GCF of 15,72,377 as per the given fractions.

GCF of 15,72,377 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 926,341,609

LCM of Fractions 926/15,341/72,609/377 is 192301494

Given numbers has no common factors except 1. So, there LCM is their product i.e 192301494

Least Common Multiple of 926,341,609 with GCF Formula

Least Common Multiple of 926,341,609 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 926,341,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,341,609) = 1

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

GCF(926,341,609) x common factors =1 x 1 = 1

LCM(926,341,609) = ( 926 × 341 × 609 ) / 1

LCM(926,341,609) = 192301494 / 1

LCM(926,341,609) = 192301494


Lets's calculate GCF of 15,72,377

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192301494/1

Therefore the LCM of Fractions 926/15,341/72,609/377 is 192301494

Greatest Common Factor of 15,72,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,72,377 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

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 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 15,72,377 . The biggest common factor number is the GCF number.
So the greatest common factor 15,72,377 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 926/15, 341/72, 609/377

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 926/15, 341/72, 609/377?

Answer: LCM of Numerators as per given numbers 926/15, 341/72, 609/377 is

LCM of Numerators i.e. for 926,341,609 is 192301494

GCF of denominators i.e. for 15,72,377 is 1.

Thus, LCM of Fractions is 192301494.Finally, LCM of Fractions for 926/15, 341/72, 609/377 is 192301494.