Least Common Multiple of 452/57, 474/29, 480/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 452/57, 474/29, 480/374 quickly i.e. 4284960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 452/57, 474/29, 480/374 is 4284960.

LCM(452/57, 474/29, 480/374) = 4284960

LCM of 452/57, 474/29, 480/374

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 452/57,474/29,480/374

Given numbers are 452/57,474/29,480/374

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 452,474,480

Least Common Multiple of Numerators i.e. LCM of 452,474,480 is 4284960.

GCF of Denominators means GCF of 57,29,374 as per the given fractions.

GCF of 57,29,374 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 452,474,480

LCM of Fractions 452/57,474/29,480/374 is 4284960

2 452, 474, 480
2 226, 237, 240
3 113, 237, 120
113, 79, 40

∴ So the LCM of the given numbers is 2 x 2 x 3 x 113 x 79 x 40 = 4284960

Least Common Multiple of 452,474,480 with GCF Formula

Least Common Multiple of 452,474,480 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 452,474,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,474,480) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(452,474,480) x common factors =2 x 12 = 24

LCM(452,474,480) = ( 452 × 474 × 480 ) / 24

LCM(452,474,480) = 102839040 / 24

LCM(452,474,480) = 4284960


Lets's calculate GCF of 57,29,374

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4284960/1

Therefore the LCM of Fractions 452/57,474/29,480/374 is 4284960

Greatest Common Factor of 57,29,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,29,374 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 57,29,374 . The biggest common factor number is the GCF number.
So the greatest common factor 57,29,374 is 1.


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 452/57, 474/29, 480/374

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 452/57, 474/29, 480/374?

Answer: LCM of Numerators as per given numbers 452/57, 474/29, 480/374 is

LCM of Numerators i.e. for 452,474,480 is 4284960

GCF of denominators i.e. for 57,29,374 is 1.

Thus, LCM of Fractions is 4284960.Finally, LCM of Fractions for 452/57, 474/29, 480/374 is 4284960.