Least Common Multiple of 381/17, 891/22, 480/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 381/17, 891/22, 480/607 quickly i.e. 18105120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 381/17, 891/22, 480/607 is 18105120.

LCM(381/17, 891/22, 480/607) = 18105120

LCM of 381/17, 891/22, 480/607

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 381/17,891/22,480/607

Given numbers are 381/17,891/22,480/607

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 381,891,480

Least Common Multiple of Numerators i.e. LCM of 381,891,480 is 18105120.

GCF of Denominators means GCF of 17,22,607 as per the given fractions.

GCF of 17,22,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 381,891,480

LCM of Fractions 381/17,891/22,480/607 is 18105120

3 381, 891, 480
127, 297, 160

∴ So the LCM of the given numbers is 3 x 127 x 297 x 160 = 18105120

Least Common Multiple of 381,891,480 with GCF Formula

Least Common Multiple of 381,891,480 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 381,891,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,891,480) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(381,891,480) x common factors =3 x 3 = 9

LCM(381,891,480) = ( 381 × 891 × 480 ) / 9

LCM(381,891,480) = 162946080 / 9

LCM(381,891,480) = 18105120


Lets's calculate GCF of 17,22,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18105120/1

Therefore the LCM of Fractions 381/17,891/22,480/607 is 18105120

Greatest Common Factor of 17,22,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,22,607 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 17,22,607 . The biggest common factor number is the GCF number.
So the greatest common factor 17,22,607 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 381/17, 891/22, 480/607

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 381/17, 891/22, 480/607?

Answer: LCM of Numerators as per given numbers 381/17, 891/22, 480/607 is

LCM of Numerators i.e. for 381,891,480 is 18105120

GCF of denominators i.e. for 17,22,607 is 1.

Thus, LCM of Fractions is 18105120.Finally, LCM of Fractions for 381/17, 891/22, 480/607 is 18105120.