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LCM of 616, 289, 359, 544

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


Find the LCM of 616, 289, 359, 544 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 616, 289, 359, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 616,289,359,544

Given numbers are 616,289,359,544

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

The LCM of 616,289,359,544 is 255642464.

Find LCM of 616,289,359,544 with Prime Factorization


2 616, 289, 359, 544
2 308, 289, 359, 272
2 154, 289, 359, 136
17 77, 289, 359, 68
77, 17, 359, 4

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

2 x 2 x 2 x 17 x 77 x 17 x 359 x 4 = 255642464

Therefore, the lowest common multiple of 616,289,359,544 is 255642464.

LCM Formula to Find Lowest Common Multiple of 616,289,359,544

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.

616 x 289 x 359 x 544 = 34767375104

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.

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

289 : 1, 17, 289

359 : 1, 359

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,289,359,544, is 1.

Now, the common factors can be found like this.

616:2x 2x 2x 7x 11

289:17x 17

359:359

544:2x 2x 2x 2x 2x 17

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

2x 2x 2x 17 = 136

Therefore, the value for common factors is 136.

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 = 34767375104/(1x136)

LCM = 34767375104/136

LCM = 255642464

Thus, we can understand that the LCM of 616,289,359,544 is 255642464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 616, 289, 359, 544

1. What is the LCM of 616, 289, 359, 544?

Answer: LCM of 616, 289, 359, 544 is 255642464.

2. How to calculate the LCM of 616, 289, 359, 544?

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 616, 289, 359, 544.

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}.