Least Common Multiple of 64/456, 418/850, 734/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/456, 418/850, 734/820 quickly i.e. 2454496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/456, 418/850, 734/820 is 2454496.

LCM(64/456, 418/850, 734/820) = 2454496

LCM of 64/456, 418/850, 734/820

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 64/456,418/850,734/820

Given numbers are 64/456,418/850,734/820

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 64,418,734

Least Common Multiple of Numerators i.e. LCM of 64,418,734 is 4908992.

GCF of Denominators means GCF of 456,850,820 as per the given fractions.

GCF of 456,850,820 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,418,734

LCM of Fractions 64/456,418/850,734/820 is 2454496

2 64, 418, 734
32, 209, 367

∴ So the LCM of the given numbers is 2 x 32 x 209 x 367 = 4908992

Least Common Multiple of 64,418,734 with GCF Formula

Least Common Multiple of 64,418,734 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 64,418,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,418,734) = 2

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

GCF(64,418,734) x common factors =2 x 2 = 4

LCM(64,418,734) = ( 64 × 418 × 734 ) / 4

LCM(64,418,734) = 19635968 / 4

LCM(64,418,734) = 4908992


Lets's calculate GCF of 456,850,820

2 456, 850, 820
228, 425, 410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4908992/2

Therefore the LCM of Fractions 64/456,418/850,734/820 is 2454496

Greatest Common Factor of 456,850,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,850,820 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 456,850,820 . The biggest common factor number is the GCF number.
So the greatest common factor 456,850,820 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 64/456, 418/850, 734/820

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 64/456, 418/850, 734/820?

Answer: LCM of Numerators as per given numbers 64/456, 418/850, 734/820 is

LCM of Numerators i.e. for 64,418,734 is 4908992

GCF of denominators i.e. for 456,850,820 is 2.

Thus, LCM of Fractions is 2454496.Finally, LCM of Fractions for 64/456, 418/850, 734/820 is 2454496.