Least Common Multiple of 94/820, 222/280, 362/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/820, 222/280, 362/190 quickly i.e. 1888554/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/820, 222/280, 362/190 is 1888554/10.

LCM(94/820, 222/280, 362/190) = 1888554/10

LCM of 94/820, 222/280, 362/190

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 94/820,222/280,362/190

Given numbers are 94/820,222/280,362/190

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 94,222,362

Least Common Multiple of Numerators i.e. LCM of 94,222,362 is 1888554.

GCF of Denominators means GCF of 820,280,190 as per the given fractions.

GCF of 820,280,190 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,222,362

LCM of Fractions 94/820,222/280,362/190 is 1888554/10

2 94, 222, 362
47, 111, 181

∴ So the LCM of the given numbers is 2 x 47 x 111 x 181 = 1888554

Least Common Multiple of 94,222,362 with GCF Formula

Least Common Multiple of 94,222,362 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 94,222,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,222,362) = 2

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

GCF(94,222,362) x common factors =2 x 2 = 4

LCM(94,222,362) = ( 94 × 222 × 362 ) / 4

LCM(94,222,362) = 7554216 / 4

LCM(94,222,362) = 1888554


Lets's calculate GCF of 820,280,190

2 820, 280, 190
5 410, 140, 95
82, 28, 19

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1888554/10

Therefore the LCM of Fractions 94/820,222/280,362/190 is 1888554/10

Greatest Common Factor of 820,280,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,280,190 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 820,280,190 . The biggest common factor number is the GCF number.
So the greatest common factor 820,280,190 is 10.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 94/820, 222/280, 362/190

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 94/820, 222/280, 362/190?

Answer: LCM of Numerators as per given numbers 94/820, 222/280, 362/190 is

LCM of Numerators i.e. for 94,222,362 is 1888554

GCF of denominators i.e. for 820,280,190 is 10.

Thus, LCM of Fractions is 1888554/10.Finally, LCM of Fractions for 94/820, 222/280, 362/190 is 1888554/10.