Least Common Multiple of 222/398, 6740/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/398, 6740/338 quickly i.e. 374070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/398, 6740/338 is 374070.

LCM(222/398, 6740/338) = 374070

LCM of 222/398, 6740/338

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 222/398,6740/338

Given numbers are 222/398,6740/338

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 222,6740

Least Common Multiple of Numerators i.e. LCM of 222,6740 is 748140.

GCF of Denominators means GCF of 398,338 as per the given fractions.

GCF of 398,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,6740

LCM of Fractions 222/398,6740/338 is 374070

2 222, 6740
111, 3370

∴ So the LCM of the given numbers is 2 x 111 x 3370 = 748140

Least Common Multiple of 222,6740 with GCF Formula

Least Common Multiple of 222,6740 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 222,6740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,6740) = 2

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

GCF(222,6740) x common factors =2 x 1 = 2

LCM(222,6740) = ( 222 × 6740 ) / 2

LCM(222,6740) = 1496280 / 2

LCM(222,6740) = 748140


Lets's calculate GCF of 398,338

2 398, 338
199, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 748140/2

Therefore the LCM of Fractions 222/398,6740/338 is 374070

Greatest Common Factor of 398,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,338 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 398,338 . The biggest common factor number is the GCF number.
So the greatest common factor 398,338 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 222/398, 6740/338

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 222/398, 6740/338?

Answer: LCM of Numerators as per given numbers 222/398, 6740/338 is

LCM of Numerators i.e. for 222,6740 is 748140

GCF of denominators i.e. for 398,338 is 2.

Thus, LCM of Fractions is 374070.Finally, LCM of Fractions for 222/398, 6740/338 is 374070.