Least Common Multiple of 360/891, 383/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/891, 383/814 quickly i.e. 137880/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/891, 383/814 is 137880/11.

LCM(360/891, 383/814) = 137880/11

LCM of 360/891, 383/814

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 360/891,383/814

Given numbers are 360/891,383/814

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 360,383

Least Common Multiple of Numerators i.e. LCM of 360,383 is 137880.

GCF of Denominators means GCF of 891,814 as per the given fractions.

GCF of 891,814 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,383

LCM of Fractions 360/891,383/814 is 137880/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 137880

Least Common Multiple of 360,383 with GCF Formula

Least Common Multiple of 360,383 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 360,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,383) = 1

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

GCF(360,383) x common factors =1 x 1 = 1

LCM(360,383) = ( 360 × 383 ) / 1

LCM(360,383) = 137880 / 1

LCM(360,383) = 137880


Lets's calculate GCF of 891,814

11 891, 814
81, 74

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 137880/11

Therefore the LCM of Fractions 360/891,383/814 is 137880/11

Greatest Common Factor of 891,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,814 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 891,814 . The biggest common factor number is the GCF number.
So the greatest common factor 891,814 is 11.


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 360/891, 383/814

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 360/891, 383/814?

Answer: LCM of Numerators as per given numbers 360/891, 383/814 is

LCM of Numerators i.e. for 360,383 is 137880

GCF of denominators i.e. for 891,814 is 11.

Thus, LCM of Fractions is 137880/11.Finally, LCM of Fractions for 360/891, 383/814 is 137880/11.