Least Common Multiple of 464/44, 174/95, 839/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/44, 174/95, 839/380 quickly i.e. 1167888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/44, 174/95, 839/380 is 1167888.

LCM(464/44, 174/95, 839/380) = 1167888

LCM of 464/44, 174/95, 839/380

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 464/44,174/95,839/380

Given numbers are 464/44,174/95,839/380

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 464,174,839

Least Common Multiple of Numerators i.e. LCM of 464,174,839 is 1167888.

GCF of Denominators means GCF of 44,95,380 as per the given fractions.

GCF of 44,95,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,174,839

LCM of Fractions 464/44,174/95,839/380 is 1167888

2 464, 174, 839
29 232, 87, 839
8, 3, 839

∴ So the LCM of the given numbers is 2 x 29 x 8 x 3 x 839 = 1167888

Least Common Multiple of 464,174,839 with GCF Formula

Least Common Multiple of 464,174,839 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 464,174,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,174,839) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(464,174,839) x common factors =1 x 58 = 58

LCM(464,174,839) = ( 464 × 174 × 839 ) / 58

LCM(464,174,839) = 67737504 / 58

LCM(464,174,839) = 1167888


Lets's calculate GCF of 44,95,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1167888/1

Therefore the LCM of Fractions 464/44,174/95,839/380 is 1167888

Greatest Common Factor of 44,95,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,95,380 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 44,95,380 . The biggest common factor number is the GCF number.
So the greatest common factor 44,95,380 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 464/44, 174/95, 839/380

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 464/44, 174/95, 839/380?

Answer: LCM of Numerators as per given numbers 464/44, 174/95, 839/380 is

LCM of Numerators i.e. for 464,174,839 is 1167888

GCF of denominators i.e. for 44,95,380 is 1.

Thus, LCM of Fractions is 1167888.Finally, LCM of Fractions for 464/44, 174/95, 839/380 is 1167888.