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LCM of 964, 462, 859, 551

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


Find the LCM of 964, 462, 859, 551 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 964, 462, 859, 551. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,462,859,551

Given numbers are 964,462,859,551

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

The LCM of 964,462,859,551 is 105398341356.

Find LCM of 964,462,859,551 with Prime Factorization


2 964, 462, 859, 551
482, 231, 859, 551

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

2 x 482 x 231 x 859 x 551 = 105398341356

Therefore, the lowest common multiple of 964,462,859,551 is 105398341356.

LCM Formula to Find Lowest Common Multiple of 964,462,859,551

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.

964 x 462 x 859 x 551 = 210796682712

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.

964 : 1, 2, 4, 241, 482, 964

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

859 : 1, 859

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,462,859,551, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

462:2x 3x 7x 11

859:859

551:19x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 210796682712/(1x2)

LCM = 210796682712/2

LCM = 105398341356

Thus, we can understand that the LCM of 964,462,859,551 is 105398341356.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 462, 859, 551

1. What is the LCM of 964, 462, 859, 551?

Answer: LCM of 964, 462, 859, 551 is 105398341356.

2. How to calculate the LCM of 964, 462, 859, 551?

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 964, 462, 859, 551.

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}.