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LCM of 723, 508, 712, 964

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


Find the LCM of 723, 508, 712, 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 723, 508, 712, 964. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,508,712,964

Given numbers are 723,508,712,964

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

The LCM of 723,508,712,964 is 65376552.

Find LCM of 723,508,712,964 with Prime Factorization


2 723, 508, 712, 964
2 723, 254, 356, 482
241 723, 127, 178, 241
3, 127, 178, 1

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

2 x 2 x 241 x 3 x 127 x 178 x 1 = 65376552

Therefore, the lowest common multiple of 723,508,712,964 is 65376552.

LCM Formula to Find Lowest Common Multiple of 723,508,712,964

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.

723 x 508 x 712 x 964 = 252091984512

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.

723 : 1, 3, 241, 723

508 : 1, 2, 4, 127, 254, 508

712 : 1, 2, 4, 8, 89, 178, 356, 712

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 723,508,712,964, is 1.

Now, the common factors can be found like this.

723:3x 241

508:2x 2x 127

712:2x 2x 2x 89

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.

2x 2x 2x 2x 241 = 3856

Therefore, the value for common factors is 3856.

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 = 252091984512/(1x3856)

LCM = 252091984512/3856

LCM = 65376552

Thus, we can understand that the LCM of 723,508,712,964 is 65376552.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 508, 712, 964

1. What is the LCM of 723, 508, 712, 964?

Answer: LCM of 723, 508, 712, 964 is 65376552.

2. How to calculate the LCM of 723, 508, 712, 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 723, 508, 712, 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}.