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LCM of 963, 348, 804, 147

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


Find the LCM of 963, 348, 804, 147 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 963, 348, 804, 147. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 963,348,804,147

Given numbers are 963,348,804,147

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

The LCM of 963,348,804,147 is 366737364.

Find LCM of 963,348,804,147 with Prime Factorization


2 963, 348, 804, 147
2 963, 174, 402, 147
3 963, 87, 201, 147
321, 29, 67, 49

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

2 x 2 x 3 x 321 x 29 x 67 x 49 = 366737364

Therefore, the lowest common multiple of 963,348,804,147 is 366737364.

LCM Formula to Find Lowest Common Multiple of 963,348,804,147

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.

963 x 348 x 804 x 147 = 39607635312

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.

963 : 1, 3, 9, 107, 321, 963

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

147 : 1, 3, 7, 21, 49, 147

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,348,804,147, is 3.

Now, the common factors can be found like this.

963:3x 3x 107

348:2x 2x 3x 29

804:2x 2x 3x 67

147:3x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 39607635312/(3x36)

LCM = 39607635312/108

LCM = 366737364

Thus, we can understand that the LCM of 963,348,804,147 is 366737364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 963, 348, 804, 147

1. What is the LCM of 963, 348, 804, 147?

Answer: LCM of 963, 348, 804, 147 is 366737364.

2. How to calculate the LCM of 963, 348, 804, 147?

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 963, 348, 804, 147.

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}.