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LCM of 748, 289, 221, 427

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 748, 289, 221, 427 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 748, 289, 221, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,289,221,427

Given numbers are 748,289,221,427

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 748,289,221,427 is 70586516.

Find LCM of 748,289,221,427 with Prime Factorization


17 748, 289, 221, 427
44, 17, 13, 427

Multiply the prime numbers at the bottom and the left side.

17 x 44 x 17 x 13 x 427 = 70586516

Therefore, the lowest common multiple of 748,289,221,427 is 70586516.

LCM Formula to Find Lowest Common Multiple of 748,289,221,427

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

748 x 289 x 221 x 427 = 20399503124

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

289 : 1, 17, 289

221 : 1, 13, 17, 221

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,289,221,427, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

289:17x 17

221:13x 17

427:7x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 17 = 289

Therefore, the value for common factors is 289.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 20399503124/(1x289)

LCM = 20399503124/289

LCM = 70586516

Thus, we can understand that the LCM of 748,289,221,427 is 70586516.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 289, 221, 427

1. What is the LCM of 748, 289, 221, 427?

Answer: LCM of 748, 289, 221, 427 is 70586516.

2. How to calculate the LCM of 748, 289, 221, 427?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 748, 289, 221, 427.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.