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LCM of 607, 817, 723, 964

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


Find the LCM of 607, 817, 723, 964 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 607, 817, 723, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 607,817,723,964

Given numbers are 607,817,723,964

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

The LCM of 607,817,723,964 is 1434197748.

Find LCM of 607,817,723,964 with Prime Factorization


241 607, 817, 723, 964
607, 817, 3, 4

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

241 x 607 x 817 x 3 x 4 = 1434197748

Therefore, the lowest common multiple of 607,817,723,964 is 1434197748.

LCM Formula to Find Lowest Common Multiple of 607,817,723,964

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.

607 x 817 x 723 x 964 = 345641657268

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.

607 : 1, 607

817 : 1, 19, 43, 817

723 : 1, 3, 241, 723

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,817,723,964, is 1.

Now, the common factors can be found like this.

607:607

817:19x 43

723:3x 241

964:2x 2x 241

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

241 = 241

Therefore, the value for common factors is 241.

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 = 345641657268/(1x241)

LCM = 345641657268/241

LCM = 1434197748

Thus, we can understand that the LCM of 607,817,723,964 is 1434197748.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 607, 817, 723, 964

1. What is the LCM of 607, 817, 723, 964?

Answer: LCM of 607, 817, 723, 964 is 1434197748.

2. How to calculate the LCM of 607, 817, 723, 964?

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 607, 817, 723, 964.

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}.