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LCM of 648, 438, 707, 802

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


Find the LCM of 648, 438, 707, 802 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 648, 438, 707, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 648,438,707,802

Given numbers are 648,438,707,802

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

The LCM of 648,438,707,802 is 13411015128.

Find LCM of 648,438,707,802 with Prime Factorization


2 648, 438, 707, 802
3 324, 219, 707, 401
108, 73, 707, 401

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

2 x 3 x 108 x 73 x 707 x 401 = 13411015128

Therefore, the lowest common multiple of 648,438,707,802 is 13411015128.

LCM Formula to Find Lowest Common Multiple of 648,438,707,802

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.

648 x 438 x 707 x 802 = 160932181536

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

438 : 1, 2, 3, 6, 73, 146, 219, 438

707 : 1, 7, 101, 707

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,438,707,802, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

438:2x 3x 73

707:7x 101

802:2x 401

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 3 = 12

Therefore, the value for common factors is 12.

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 = 160932181536/(1x12)

LCM = 160932181536/12

LCM = 13411015128

Thus, we can understand that the LCM of 648,438,707,802 is 13411015128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 648, 438, 707, 802

1. What is the LCM of 648, 438, 707, 802?

Answer: LCM of 648, 438, 707, 802 is 13411015128.

2. How to calculate the LCM of 648, 438, 707, 802?

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 648, 438, 707, 802.

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}.