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LCM of 761, 258, 595, 216

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


Find the LCM of 761, 258, 595, 216 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 761, 258, 595, 216. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 761,258,595,216

Given numbers are 761,258,595,216

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

The LCM of 761,258,595,216 is 4205559960.

Find LCM of 761,258,595,216 with Prime Factorization


2 761, 258, 595, 216
3 761, 129, 595, 108
761, 43, 595, 36

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

2 x 3 x 761 x 43 x 595 x 36 = 4205559960

Therefore, the lowest common multiple of 761,258,595,216 is 4205559960.

LCM Formula to Find Lowest Common Multiple of 761,258,595,216

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.

761 x 258 x 595 x 216 = 25233359760

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.

761 : 1, 761

258 : 1, 2, 3, 6, 43, 86, 129, 258

595 : 1, 5, 7, 17, 35, 85, 119, 595

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,258,595,216, is 1.

Now, the common factors can be found like this.

761:761

258:2x 3x 43

595:5x 7x 17

216:2x 2x 2x 3x 3x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 25233359760/(1x6)

LCM = 25233359760/6

LCM = 4205559960

Thus, we can understand that the LCM of 761,258,595,216 is 4205559960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 761, 258, 595, 216

1. What is the LCM of 761, 258, 595, 216?

Answer: LCM of 761, 258, 595, 216 is 4205559960.

2. How to calculate the LCM of 761, 258, 595, 216?

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 761, 258, 595, 216.

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}.