Least Common Multiple of 74/312, 298/18, 594/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/312, 298/18, 594/124 quickly i.e. 1637361 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/312, 298/18, 594/124 is 1637361.

LCM(74/312, 298/18, 594/124) = 1637361

LCM of 74/312, 298/18, 594/124

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 74/312,298/18,594/124

Given numbers are 74/312,298/18,594/124

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 74,298,594

Least Common Multiple of Numerators i.e. LCM of 74,298,594 is 3274722.

GCF of Denominators means GCF of 312,18,124 as per the given fractions.

GCF of 312,18,124 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,298,594

LCM of Fractions 74/312,298/18,594/124 is 1637361

2 74, 298, 594
37, 149, 297

∴ So the LCM of the given numbers is 2 x 37 x 149 x 297 = 3274722

Least Common Multiple of 74,298,594 with GCF Formula

Least Common Multiple of 74,298,594 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 74,298,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,298,594) = 2

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

GCF(74,298,594) x common factors =2 x 2 = 4

LCM(74,298,594) = ( 74 × 298 × 594 ) / 4

LCM(74,298,594) = 13098888 / 4

LCM(74,298,594) = 3274722


Lets's calculate GCF of 312,18,124

2 312, 18, 124
156, 9, 62

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3274722/2

Therefore the LCM of Fractions 74/312,298/18,594/124 is 1637361

Greatest Common Factor of 312,18,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,18,124 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 312,18,124 . The biggest common factor number is the GCF number.
So the greatest common factor 312,18,124 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 74/312, 298/18, 594/124

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 74/312, 298/18, 594/124?

Answer: LCM of Numerators as per given numbers 74/312, 298/18, 594/124 is

LCM of Numerators i.e. for 74,298,594 is 3274722

GCF of denominators i.e. for 312,18,124 is 2.

Thus, LCM of Fractions is 1637361.Finally, LCM of Fractions for 74/312, 298/18, 594/124 is 1637361.