Least Common Multiple of 450/967, 390/304, 888/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/967, 390/304, 888/332 quickly i.e. 865800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/967, 390/304, 888/332 is 865800.

LCM(450/967, 390/304, 888/332) = 865800

LCM of 450/967, 390/304, 888/332

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 450/967,390/304,888/332

Given numbers are 450/967,390/304,888/332

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 450,390,888

Least Common Multiple of Numerators i.e. LCM of 450,390,888 is 865800.

GCF of Denominators means GCF of 967,304,332 as per the given fractions.

GCF of 967,304,332 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,390,888

LCM of Fractions 450/967,390/304,888/332 is 865800

2 450, 390, 888
3 225, 195, 444
5 75, 65, 148
15, 13, 148

∴ So the LCM of the given numbers is 2 x 3 x 5 x 15 x 13 x 148 = 865800

Least Common Multiple of 450,390,888 with GCF Formula

Least Common Multiple of 450,390,888 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 450,390,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,390,888) = 6

common factors(in case of two or more numbers have common factors) = 30

GCF(450,390,888) x common factors =6 x 30 = 180

LCM(450,390,888) = ( 450 × 390 × 888 ) / 180

LCM(450,390,888) = 155844000 / 180

LCM(450,390,888) = 865800


Lets's calculate GCF of 967,304,332

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 865800/1

Therefore the LCM of Fractions 450/967,390/304,888/332 is 865800

Greatest Common Factor of 967,304,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,304,332 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 967,304,332 . The biggest common factor number is the GCF number.
So the greatest common factor 967,304,332 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 450/967, 390/304, 888/332

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 450/967, 390/304, 888/332?

Answer: LCM of Numerators as per given numbers 450/967, 390/304, 888/332 is

LCM of Numerators i.e. for 450,390,888 is 865800

GCF of denominators i.e. for 967,304,332 is 1.

Thus, LCM of Fractions is 865800.Finally, LCM of Fractions for 450/967, 390/304, 888/332 is 865800.