Least Common Multiple of 40/884, 267/842, 896/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/884, 267/842, 896/290 quickly i.e. 598080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/884, 267/842, 896/290 is 598080.

LCM(40/884, 267/842, 896/290) = 598080

LCM of 40/884, 267/842, 896/290

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 40/884,267/842,896/290

Given numbers are 40/884,267/842,896/290

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 40,267,896

Least Common Multiple of Numerators i.e. LCM of 40,267,896 is 1196160.

GCF of Denominators means GCF of 884,842,290 as per the given fractions.

GCF of 884,842,290 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,267,896

LCM of Fractions 40/884,267/842,896/290 is 598080

2 40, 267, 896
2 20, 267, 448
2 10, 267, 224
5, 267, 112

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 267 x 112 = 1196160

Least Common Multiple of 40,267,896 with GCF Formula

Least Common Multiple of 40,267,896 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 40,267,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,267,896) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,267,896) x common factors =1 x 8 = 8

LCM(40,267,896) = ( 40 × 267 × 896 ) / 8

LCM(40,267,896) = 9569280 / 8

LCM(40,267,896) = 1196160


Lets's calculate GCF of 884,842,290

2 884, 842, 290
442, 421, 145

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1196160/2

Therefore the LCM of Fractions 40/884,267/842,896/290 is 598080

Greatest Common Factor of 884,842,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,842,290 By Matching Biggest Common Factor Method

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1,2,4,13,17,26,34,52,68,221,442,884

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 884,842,290 . The biggest common factor number is the GCF number.
So the greatest common factor 884,842,290 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 40/884, 267/842, 896/290

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 40/884, 267/842, 896/290?

Answer: LCM of Numerators as per given numbers 40/884, 267/842, 896/290 is

LCM of Numerators i.e. for 40,267,896 is 1196160

GCF of denominators i.e. for 884,842,290 is 2.

Thus, LCM of Fractions is 598080.Finally, LCM of Fractions for 40/884, 267/842, 896/290 is 598080.