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LCM of 553, 895, 321, 146, 294

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


Find the LCM of 553, 895, 321, 146, 294 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 553, 895, 321, 146, 294. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 553,895,321,146,294

Given numbers are 553,895,321,146,294

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

The LCM of 553,895,321,146,294 is 162369365970.

Find LCM of 553,895,321,146,294 with Prime Factorization


2 553, 895, 321, 146, 294
3 553, 895, 321, 73, 147
7 553, 895, 107, 73, 49
79, 895, 107, 73, 7

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

2 x 3 x 7 x 79 x 895 x 107 x 73 x 7 = 162369365970

Therefore, the lowest common multiple of 553,895,321,146,294 is 162369365970.

LCM Formula to Find Lowest Common Multiple of 553,895,321,146,294

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.

553 x 895 x 321 x 146 x 294 = 6819513370740

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.

553 : 1, 7, 79, 553

895 : 1, 5, 179, 895

321 : 1, 3, 107, 321

146 : 1, 2, 73, 146

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,895,321,146,294, is 1.

Now, the common factors can be found like this.

553:7x 79

895:5x 179

321:3x 107

146:2x 73

294:2x 3x 7x 7

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

2x 3x 7 = 42

Therefore, the value for common factors is 42.

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 = 6819513370740/(1x42)

LCM = 6819513370740/42

LCM = 162369365970

Thus, we can understand that the LCM of 553,895,321,146,294 is 162369365970.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 553, 895, 321, 146, 294

1. What is the LCM of 553, 895, 321, 146, 294?

Answer: LCM of 553, 895, 321, 146, 294 is 162369365970.

2. How to calculate the LCM of 553, 895, 321, 146, 294?

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 553, 895, 321, 146, 294.

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}.