Least Common Multiple of 440/282, 847/668, 144/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/282, 847/668, 144/948 quickly i.e. 304920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/282, 847/668, 144/948 is 304920.

LCM(440/282, 847/668, 144/948) = 304920

LCM of 440/282, 847/668, 144/948

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 440/282,847/668,144/948

Given numbers are 440/282,847/668,144/948

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 440,847,144

Least Common Multiple of Numerators i.e. LCM of 440,847,144 is 609840.

GCF of Denominators means GCF of 282,668,948 as per the given fractions.

GCF of 282,668,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,847,144

LCM of Fractions 440/282,847/668,144/948 is 304920

2 440, 847, 144
2 220, 847, 72
2 110, 847, 36
11 55, 847, 18
5, 77, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 5 x 77 x 18 = 609840

Least Common Multiple of 440,847,144 with GCF Formula

Least Common Multiple of 440,847,144 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 440,847,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,847,144) = 1

common factors(in case of two or more numbers have common factors) = 88

GCF(440,847,144) x common factors =1 x 88 = 88

LCM(440,847,144) = ( 440 × 847 × 144 ) / 88

LCM(440,847,144) = 53665920 / 88

LCM(440,847,144) = 609840


Lets's calculate GCF of 282,668,948

2 282, 668, 948
141, 334, 474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 609840/2

Therefore the LCM of Fractions 440/282,847/668,144/948 is 304920

Greatest Common Factor of 282,668,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,668,948 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 282,668,948 . The biggest common factor number is the GCF number.
So the greatest common factor 282,668,948 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 440/282, 847/668, 144/948

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 440/282, 847/668, 144/948?

Answer: LCM of Numerators as per given numbers 440/282, 847/668, 144/948 is

LCM of Numerators i.e. for 440,847,144 is 609840

GCF of denominators i.e. for 282,668,948 is 2.

Thus, LCM of Fractions is 304920.Finally, LCM of Fractions for 440/282, 847/668, 144/948 is 304920.