Least Common Multiple of 74/428, 10/252, 455/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/428, 10/252, 455/480 quickly i.e. 33670/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/428, 10/252, 455/480 is 33670/4.

LCM(74/428, 10/252, 455/480) = 33670/4

LCM of 74/428, 10/252, 455/480

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 74/428,10/252,455/480

Given numbers are 74/428,10/252,455/480

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 74,10,455

Least Common Multiple of Numerators i.e. LCM of 74,10,455 is 33670.

GCF of Denominators means GCF of 428,252,480 as per the given fractions.

GCF of 428,252,480 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,10,455

LCM of Fractions 74/428,10/252,455/480 is 33670/4

2 74, 10, 455
5 37, 5, 455
37, 1, 91

∴ So the LCM of the given numbers is 2 x 5 x 37 x 1 x 91 = 33670

Least Common Multiple of 74,10,455 with GCF Formula

Least Common Multiple of 74,10,455 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 74,10,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,10,455) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(74,10,455) x common factors =1 x 10 = 10

LCM(74,10,455) = ( 74 × 10 × 455 ) / 10

LCM(74,10,455) = 336700 / 10

LCM(74,10,455) = 33670


Lets's calculate GCF of 428,252,480

2 428, 252, 480
2 214, 126, 240
107, 63, 120

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33670/4

Therefore the LCM of Fractions 74/428,10/252,455/480 is 33670/4

Greatest Common Factor of 428,252,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,252,480 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 428,252,480 . The biggest common factor number is the GCF number.
So the greatest common factor 428,252,480 is 4.


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 74/428, 10/252, 455/480

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 74/428, 10/252, 455/480?

Answer: LCM of Numerators as per given numbers 74/428, 10/252, 455/480 is

LCM of Numerators i.e. for 74,10,455 is 33670

GCF of denominators i.e. for 428,252,480 is 4.

Thus, LCM of Fractions is 33670/4.Finally, LCM of Fractions for 74/428, 10/252, 455/480 is 33670/4.