Least Common Multiple of 40/352, 76/852, 332/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/352, 76/852, 332/894 quickly i.e. 31540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/352, 76/852, 332/894 is 31540.

LCM(40/352, 76/852, 332/894) = 31540

LCM of 40/352, 76/852, 332/894

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 40/352,76/852,332/894

Given numbers are 40/352,76/852,332/894

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 40,76,332

Least Common Multiple of Numerators i.e. LCM of 40,76,332 is 63080.

GCF of Denominators means GCF of 352,852,894 as per the given fractions.

GCF of 352,852,894 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,76,332

LCM of Fractions 40/352,76/852,332/894 is 31540

2 40, 76, 332
2 20, 38, 166
10, 19, 83

∴ So the LCM of the given numbers is 2 x 2 x 10 x 19 x 83 = 63080

Least Common Multiple of 40,76,332 with GCF Formula

Least Common Multiple of 40,76,332 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 40,76,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,76,332) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(40,76,332) x common factors =4 x 4 = 16

LCM(40,76,332) = ( 40 × 76 × 332 ) / 16

LCM(40,76,332) = 1009280 / 16

LCM(40,76,332) = 63080


Lets's calculate GCF of 352,852,894

2 352, 852, 894
176, 426, 447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63080/2

Therefore the LCM of Fractions 40/352,76/852,332/894 is 31540

Greatest Common Factor of 352,852,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,852,894 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 352,852,894 . The biggest common factor number is the GCF number.
So the greatest common factor 352,852,894 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 40/352, 76/852, 332/894

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 40/352, 76/852, 332/894?

Answer: LCM of Numerators as per given numbers 40/352, 76/852, 332/894 is

LCM of Numerators i.e. for 40,76,332 is 63080

GCF of denominators i.e. for 352,852,894 is 2.

Thus, LCM of Fractions is 31540.Finally, LCM of Fractions for 40/352, 76/852, 332/894 is 31540.