Least Common Multiple of 360/68, 4892/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 360/68, 4892/886 quickly i.e. 220140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 360/68, 4892/886 is 220140.

LCM(360/68, 4892/886) = 220140

LCM of 360/68, 4892/886

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 360/68,4892/886

Given numbers are 360/68,4892/886

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 360,4892

Least Common Multiple of Numerators i.e. LCM of 360,4892 is 440280.

GCF of Denominators means GCF of 68,886 as per the given fractions.

GCF of 68,886 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 360,4892

LCM of Fractions 360/68,4892/886 is 220140

2 360, 4892
2 180, 2446
90, 1223

∴ So the LCM of the given numbers is 2 x 2 x 90 x 1223 = 440280

Least Common Multiple of 360,4892 with GCF Formula

Least Common Multiple of 360,4892 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 360,4892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,4892) = 4

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

GCF(360,4892) x common factors =4 x 1 = 4

LCM(360,4892) = ( 360 × 4892 ) / 4

LCM(360,4892) = 1761120 / 4

LCM(360,4892) = 440280


Lets's calculate GCF of 68,886

2 68, 886
34, 443

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440280/2

Therefore the LCM of Fractions 360/68,4892/886 is 220140

Greatest Common Factor of 68,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,886 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 68,886 . The biggest common factor number is the GCF number.
So the greatest common factor 68,886 is 2.


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 360/68, 4892/886

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 360/68, 4892/886?

Answer: LCM of Numerators as per given numbers 360/68, 4892/886 is

LCM of Numerators i.e. for 360,4892 is 440280

GCF of denominators i.e. for 68,886 is 2.

Thus, LCM of Fractions is 220140.Finally, LCM of Fractions for 360/68, 4892/886 is 220140.