Least Common Multiple of 17/635, 89/148, 380/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/635, 89/148, 380/734 quickly i.e. 574940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/635, 89/148, 380/734 is 574940.

LCM(17/635, 89/148, 380/734) = 574940

LCM of 17/635, 89/148, 380/734

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 17/635,89/148,380/734

Given numbers are 17/635,89/148,380/734

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 17,89,380

Least Common Multiple of Numerators i.e. LCM of 17,89,380 is 574940.

GCF of Denominators means GCF of 635,148,734 as per the given fractions.

GCF of 635,148,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,89,380

LCM of Fractions 17/635,89/148,380/734 is 574940

Given numbers has no common factors except 1. So, there LCM is their product i.e 574940

Least Common Multiple of 17,89,380 with GCF Formula

Least Common Multiple of 17,89,380 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 17,89,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,89,380) = 1

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

GCF(17,89,380) x common factors =1 x 1 = 1

LCM(17,89,380) = ( 17 × 89 × 380 ) / 1

LCM(17,89,380) = 574940 / 1

LCM(17,89,380) = 574940


Lets's calculate GCF of 635,148,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 574940/1

Therefore the LCM of Fractions 17/635,89/148,380/734 is 574940

Greatest Common Factor of 635,148,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,148,734 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 635,148,734 . The biggest common factor number is the GCF number.
So the greatest common factor 635,148,734 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 17/635, 89/148, 380/734

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 17/635, 89/148, 380/734?

Answer: LCM of Numerators as per given numbers 17/635, 89/148, 380/734 is

LCM of Numerators i.e. for 17,89,380 is 574940

GCF of denominators i.e. for 635,148,734 is 1.

Thus, LCM of Fractions is 574940.Finally, LCM of Fractions for 17/635, 89/148, 380/734 is 574940.