Least Common Multiple of 8456/408, 5772/850

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8456/408, 5772/850 quickly i.e. 12202008/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8456/408, 5772/850 is 12202008/34.

LCM(8456/408, 5772/850) = 12202008/34

LCM of 8456/408, 5772/850

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 8456/408,5772/850

Given numbers are 8456/408,5772/850

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 8456,5772

Least Common Multiple of Numerators i.e. LCM of 8456,5772 is 12202008.

GCF of Denominators means GCF of 408,850 as per the given fractions.

GCF of 408,850 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8456,5772

LCM of Fractions 8456/408,5772/850 is 12202008/34

2 8456, 5772
2 4228, 2886
2114, 1443

∴ So the LCM of the given numbers is 2 x 2 x 2114 x 1443 = 12202008

Least Common Multiple of 8456,5772 with GCF Formula

Least Common Multiple of 8456,5772 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 8456,5772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8456,5772) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(8456,5772) x common factors =4 x 1 = 4

LCM(8456,5772) = ( 8456 × 5772 ) / 4

LCM(8456,5772) = 48808032 / 4

LCM(8456,5772) = 12202008


Lets's calculate GCF of 408,850

2 408, 850
17 204, 425
12, 25

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12202008/34

Therefore the LCM of Fractions 8456/408,5772/850 is 12202008/34

Greatest Common Factor of 408,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,850 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

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

Greatest Common Factor

We found the factors 408,850 . The biggest common factor number is the GCF number.
So the greatest common factor 408,850 is 34.


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 8456/408, 5772/850

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 8456/408, 5772/850?

Answer: LCM of Numerators as per given numbers 8456/408, 5772/850 is

LCM of Numerators i.e. for 8456,5772 is 12202008

GCF of denominators i.e. for 408,850 is 34.

Thus, LCM of Fractions is 12202008/34.Finally, LCM of Fractions for 8456/408, 5772/850 is 12202008/34.