Least Common Multiple of 453/56, 380/24, 832/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 453/56, 380/24, 832/622 quickly i.e. 17902560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 453/56, 380/24, 832/622 is 17902560.

LCM(453/56, 380/24, 832/622) = 17902560

LCM of 453/56, 380/24, 832/622

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 453/56,380/24,832/622

Given numbers are 453/56,380/24,832/622

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 453,380,832

Least Common Multiple of Numerators i.e. LCM of 453,380,832 is 35805120.

GCF of Denominators means GCF of 56,24,622 as per the given fractions.

GCF of 56,24,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 453,380,832

LCM of Fractions 453/56,380/24,832/622 is 17902560

2 453, 380, 832
2 453, 190, 416
453, 95, 208

∴ So the LCM of the given numbers is 2 x 2 x 453 x 95 x 208 = 35805120

Least Common Multiple of 453,380,832 with GCF Formula

Least Common Multiple of 453,380,832 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 453,380,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(453,380,832) = 1

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

GCF(453,380,832) x common factors =1 x 4 = 4

LCM(453,380,832) = ( 453 × 380 × 832 ) / 4

LCM(453,380,832) = 143220480 / 4

LCM(453,380,832) = 35805120


Lets's calculate GCF of 56,24,622

2 56, 24, 622
28, 12, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35805120/2

Therefore the LCM of Fractions 453/56,380/24,832/622 is 17902560

Greatest Common Factor of 56,24,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,24,622 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

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 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 56,24,622 . The biggest common factor number is the GCF number.
So the greatest common factor 56,24,622 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 453/56, 380/24, 832/622

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 453/56, 380/24, 832/622?

Answer: LCM of Numerators as per given numbers 453/56, 380/24, 832/622 is

LCM of Numerators i.e. for 453,380,832 is 35805120

GCF of denominators i.e. for 56,24,622 is 2.

Thus, LCM of Fractions is 17902560.Finally, LCM of Fractions for 453/56, 380/24, 832/622 is 17902560.