Least Common Multiple of 480/440, 308/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/440, 308/150 quickly i.e. 3696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/440, 308/150 is 3696.

LCM(480/440, 308/150) = 3696

LCM of 480/440, 308/150

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 480/440,308/150

Given numbers are 480/440,308/150

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 480,308

Least Common Multiple of Numerators i.e. LCM of 480,308 is 36960.

GCF of Denominators means GCF of 440,150 as per the given fractions.

GCF of 440,150 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,308

LCM of Fractions 480/440,308/150 is 3696

2 480, 308
2 240, 154
120, 77

∴ So the LCM of the given numbers is 2 x 2 x 120 x 77 = 36960

Least Common Multiple of 480,308 with GCF Formula

Least Common Multiple of 480,308 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 480,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,308) = 4

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

GCF(480,308) x common factors =4 x 1 = 4

LCM(480,308) = ( 480 × 308 ) / 4

LCM(480,308) = 147840 / 4

LCM(480,308) = 36960


Lets's calculate GCF of 440,150

2 440, 150
5 220, 75
44, 15

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36960/10

Therefore the LCM of Fractions 480/440,308/150 is 3696

Greatest Common Factor of 440,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,150 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 440,150 . The biggest common factor number is the GCF number.
So the greatest common factor 440,150 is 10.


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 480/440, 308/150

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 480/440, 308/150?

Answer: LCM of Numerators as per given numbers 480/440, 308/150 is

LCM of Numerators i.e. for 480,308 is 36960

GCF of denominators i.e. for 440,150 is 10.

Thus, LCM of Fractions is 3696.Finally, LCM of Fractions for 480/440, 308/150 is 3696.