Least Common Multiple of 284/62, 744/24, 934/786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/62, 744/24, 934/786 quickly i.e. 12334404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/62, 744/24, 934/786 is 12334404.

LCM(284/62, 744/24, 934/786) = 12334404

LCM of 284/62, 744/24, 934/786

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 284/62,744/24,934/786

Given numbers are 284/62,744/24,934/786

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 284,744,934

Least Common Multiple of Numerators i.e. LCM of 284,744,934 is 24668808.

GCF of Denominators means GCF of 62,24,786 as per the given fractions.

GCF of 62,24,786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,744,934

LCM of Fractions 284/62,744/24,934/786 is 12334404

2 284, 744, 934
2 142, 372, 467
71, 186, 467

∴ So the LCM of the given numbers is 2 x 2 x 71 x 186 x 467 = 24668808

Least Common Multiple of 284,744,934 with GCF Formula

Least Common Multiple of 284,744,934 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 284,744,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,744,934) = 2

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

GCF(284,744,934) x common factors =2 x 4 = 8

LCM(284,744,934) = ( 284 × 744 × 934 ) / 8

LCM(284,744,934) = 197350464 / 8

LCM(284,744,934) = 24668808


Lets's calculate GCF of 62,24,786

2 62, 24, 786
31, 12, 393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24668808/2

Therefore the LCM of Fractions 284/62,744/24,934/786 is 12334404

Greatest Common Factor of 62,24,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,24,786 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 62,24,786 . The biggest common factor number is the GCF number.
So the greatest common factor 62,24,786 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 284/62, 744/24, 934/786

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 284/62, 744/24, 934/786?

Answer: LCM of Numerators as per given numbers 284/62, 744/24, 934/786 is

LCM of Numerators i.e. for 284,744,934 is 24668808

GCF of denominators i.e. for 62,24,786 is 2.

Thus, LCM of Fractions is 12334404.Finally, LCM of Fractions for 284/62, 744/24, 934/786 is 12334404.