Least Common Multiple of 940/44, 802/36, 358/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 940/44, 802/36, 358/30 quickly i.e. 33736130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 940/44, 802/36, 358/30 is 33736130.

LCM(940/44, 802/36, 358/30) = 33736130

LCM of 940/44, 802/36, 358/30

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 940/44,802/36,358/30

Given numbers are 940/44,802/36,358/30

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 940,802,358

Least Common Multiple of Numerators i.e. LCM of 940,802,358 is 67472260.

GCF of Denominators means GCF of 44,36,30 as per the given fractions.

GCF of 44,36,30 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 940,802,358

LCM of Fractions 940/44,802/36,358/30 is 33736130

2 940, 802, 358
470, 401, 179

∴ So the LCM of the given numbers is 2 x 470 x 401 x 179 = 67472260

Least Common Multiple of 940,802,358 with GCF Formula

Least Common Multiple of 940,802,358 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 940,802,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,802,358) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(940,802,358) x common factors =2 x 2 = 4

LCM(940,802,358) = ( 940 × 802 × 358 ) / 4

LCM(940,802,358) = 269889040 / 4

LCM(940,802,358) = 67472260


Lets's calculate GCF of 44,36,30

2 44, 36, 30
22, 18, 15

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67472260/2

Therefore the LCM of Fractions 940/44,802/36,358/30 is 33736130

Greatest Common Factor of 44,36,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,36,30 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 44,36,30 . The biggest common factor number is the GCF number.
So the greatest common factor 44,36,30 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 940/44, 802/36, 358/30

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 940/44, 802/36, 358/30?

Answer: LCM of Numerators as per given numbers 940/44, 802/36, 358/30 is

LCM of Numerators i.e. for 940,802,358 is 67472260

GCF of denominators i.e. for 44,36,30 is 2.

Thus, LCM of Fractions is 33736130.Finally, LCM of Fractions for 940/44, 802/36, 358/30 is 33736130.