Least Common Multiple of 338/944, 1322/7448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/944, 1322/7448 quickly i.e. 223418/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/944, 1322/7448 is 223418/8.

LCM(338/944, 1322/7448) = 223418/8

LCM of 338/944, 1322/7448

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 338/944,1322/7448

Given numbers are 338/944,1322/7448

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 338,1322

Least Common Multiple of Numerators i.e. LCM of 338,1322 is 223418.

GCF of Denominators means GCF of 944,7448 as per the given fractions.

GCF of 944,7448 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,1322

LCM of Fractions 338/944,1322/7448 is 223418/8

2 338, 1322
169, 661

∴ So the LCM of the given numbers is 2 x 169 x 661 = 223418

Least Common Multiple of 338,1322 with GCF Formula

Least Common Multiple of 338,1322 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 338,1322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,1322) = 2

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

GCF(338,1322) x common factors =2 x 1 = 2

LCM(338,1322) = ( 338 × 1322 ) / 2

LCM(338,1322) = 446836 / 2

LCM(338,1322) = 223418


Lets's calculate GCF of 944,7448

2 944, 7448
2 472, 3724
2 236, 1862
118, 931

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223418/8

Therefore the LCM of Fractions 338/944,1322/7448 is 223418/8

Greatest Common Factor of 944,7448 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,7448 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 7448

List of positive integer factors of 7448 that divides 7448 without a remainder.

1,2,4,7,8,14,19,28,38,49,56,76,98,133,152,196,266,392,532,931,1064,1862,3724,7448

Greatest Common Factor

We found the factors 944,7448 . The biggest common factor number is the GCF number.
So the greatest common factor 944,7448 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 338/944, 1322/7448

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 338/944, 1322/7448?

Answer: LCM of Numerators as per given numbers 338/944, 1322/7448 is

LCM of Numerators i.e. for 338,1322 is 223418

GCF of denominators i.e. for 944,7448 is 8.

Thus, LCM of Fractions is 223418/8.Finally, LCM of Fractions for 338/944, 1322/7448 is 223418/8.