Least Common Multiple of 444/62, 784/92, 394/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 444/62, 784/92, 394/942 quickly i.e. 8571864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/62, 784/92, 394/942 is 8571864.

LCM(444/62, 784/92, 394/942) = 8571864

LCM of 444/62, 784/92, 394/942

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 444/62,784/92,394/942

Given numbers are 444/62,784/92,394/942

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 444,784,394

Least Common Multiple of Numerators i.e. LCM of 444,784,394 is 17143728.

GCF of Denominators means GCF of 62,92,942 as per the given fractions.

GCF of 62,92,942 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,784,394

LCM of Fractions 444/62,784/92,394/942 is 8571864

2 444, 784, 394
2 222, 392, 197
111, 196, 197

∴ So the LCM of the given numbers is 2 x 2 x 111 x 196 x 197 = 17143728

Least Common Multiple of 444,784,394 with GCF Formula

Least Common Multiple of 444,784,394 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 444,784,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,784,394) = 2

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

GCF(444,784,394) x common factors =2 x 4 = 8

LCM(444,784,394) = ( 444 × 784 × 394 ) / 8

LCM(444,784,394) = 137149824 / 8

LCM(444,784,394) = 17143728


Lets's calculate GCF of 62,92,942

2 62, 92, 942
31, 46, 471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17143728/2

Therefore the LCM of Fractions 444/62,784/92,394/942 is 8571864

Greatest Common Factor of 62,92,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,92,942 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 62,92,942 . The biggest common factor number is the GCF number.
So the greatest common factor 62,92,942 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 444/62, 784/92, 394/942

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 444/62, 784/92, 394/942?

Answer: LCM of Numerators as per given numbers 444/62, 784/92, 394/942 is

LCM of Numerators i.e. for 444,784,394 is 17143728

GCF of denominators i.e. for 62,92,942 is 2.

Thus, LCM of Fractions is 8571864.Finally, LCM of Fractions for 444/62, 784/92, 394/942 is 8571864.