Least Common Multiple of 18/974, 30/596, 400/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/974, 30/596, 400/454 quickly i.e. 1800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/974, 30/596, 400/454 is 1800.

LCM(18/974, 30/596, 400/454) = 1800

LCM of 18/974, 30/596, 400/454

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 18/974,30/596,400/454

Given numbers are 18/974,30/596,400/454

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 18,30,400

Least Common Multiple of Numerators i.e. LCM of 18,30,400 is 3600.

GCF of Denominators means GCF of 974,596,454 as per the given fractions.

GCF of 974,596,454 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,30,400

LCM of Fractions 18/974,30/596,400/454 is 1800

2 18, 30, 400
3 9, 15, 200
5 3, 5, 200
3, 1, 40

∴ So the LCM of the given numbers is 2 x 3 x 5 x 3 x 1 x 40 = 3600

Least Common Multiple of 18,30,400 with GCF Formula

Least Common Multiple of 18,30,400 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 18,30,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,30,400) = 2

common factors(in case of two or more numbers have common factors) = 30

GCF(18,30,400) x common factors =2 x 30 = 60

LCM(18,30,400) = ( 18 × 30 × 400 ) / 60

LCM(18,30,400) = 216000 / 60

LCM(18,30,400) = 3600


Lets's calculate GCF of 974,596,454

2 974, 596, 454
487, 298, 227

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3600/2

Therefore the LCM of Fractions 18/974,30/596,400/454 is 1800

Greatest Common Factor of 974,596,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,596,454 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 974,596,454 . The biggest common factor number is the GCF number.
So the greatest common factor 974,596,454 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 18/974, 30/596, 400/454

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 18/974, 30/596, 400/454?

Answer: LCM of Numerators as per given numbers 18/974, 30/596, 400/454 is

LCM of Numerators i.e. for 18,30,400 is 3600

GCF of denominators i.e. for 974,596,454 is 2.

Thus, LCM of Fractions is 1800.Finally, LCM of Fractions for 18/974, 30/596, 400/454 is 1800.