Least Common Multiple of 67/550, 94/262, 222/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/550, 94/262, 222/362 quickly i.e. 349539 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/550, 94/262, 222/362 is 349539.

LCM(67/550, 94/262, 222/362) = 349539

LCM of 67/550, 94/262, 222/362

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 67/550,94/262,222/362

Given numbers are 67/550,94/262,222/362

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 67,94,222

Least Common Multiple of Numerators i.e. LCM of 67,94,222 is 699078.

GCF of Denominators means GCF of 550,262,362 as per the given fractions.

GCF of 550,262,362 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,94,222

LCM of Fractions 67/550,94/262,222/362 is 349539

2 67, 94, 222
67, 47, 111

∴ So the LCM of the given numbers is 2 x 67 x 47 x 111 = 699078

Least Common Multiple of 67,94,222 with GCF Formula

Least Common Multiple of 67,94,222 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 67,94,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,94,222) = 1

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

GCF(67,94,222) x common factors =1 x 2 = 2

LCM(67,94,222) = ( 67 × 94 × 222 ) / 2

LCM(67,94,222) = 1398156 / 2

LCM(67,94,222) = 699078


Lets's calculate GCF of 550,262,362

2 550, 262, 362
275, 131, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 699078/2

Therefore the LCM of Fractions 67/550,94/262,222/362 is 349539

Greatest Common Factor of 550,262,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 550,262,362 By Matching Biggest Common Factor Method

Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1,2,5,10,11,22,25,50,55,110,275,550

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 550,262,362 . The biggest common factor number is the GCF number.
So the greatest common factor 550,262,362 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 67/550, 94/262, 222/362

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 67/550, 94/262, 222/362?

Answer: LCM of Numerators as per given numbers 67/550, 94/262, 222/362 is

LCM of Numerators i.e. for 67,94,222 is 699078

GCF of denominators i.e. for 550,262,362 is 2.

Thus, LCM of Fractions is 349539.Finally, LCM of Fractions for 67/550, 94/262, 222/362 is 349539.