Least Common Multiple of 822/16, 262/4600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 822/16, 262/4600 quickly i.e. 107682/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 822/16, 262/4600 is 107682/8.

LCM(822/16, 262/4600) = 107682/8

LCM of 822/16, 262/4600

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 822/16,262/4600

Given numbers are 822/16,262/4600

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 822,262

Least Common Multiple of Numerators i.e. LCM of 822,262 is 107682.

GCF of Denominators means GCF of 16,4600 as per the given fractions.

GCF of 16,4600 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 822,262

LCM of Fractions 822/16,262/4600 is 107682/8

2 822, 262
411, 131

∴ So the LCM of the given numbers is 2 x 411 x 131 = 107682

Least Common Multiple of 822,262 with GCF Formula

Least Common Multiple of 822,262 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 822,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,262) = 2

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

GCF(822,262) x common factors =2 x 1 = 2

LCM(822,262) = ( 822 × 262 ) / 2

LCM(822,262) = 215364 / 2

LCM(822,262) = 107682


Lets's calculate GCF of 16,4600

2 16, 4600
2 8, 2300
2 4, 1150
2, 575

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107682/8

Therefore the LCM of Fractions 822/16,262/4600 is 107682/8

Greatest Common Factor of 16,4600 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,4600 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Greatest Common Factor

We found the factors 16,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 16,4600 is 8.


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 822/16, 262/4600

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 822/16, 262/4600?

Answer: LCM of Numerators as per given numbers 822/16, 262/4600 is

LCM of Numerators i.e. for 822,262 is 107682

GCF of denominators i.e. for 16,4600 is 8.

Thus, LCM of Fractions is 107682/8.Finally, LCM of Fractions for 822/16, 262/4600 is 107682/8.