Given numbers are 644,313,501,505,458

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

The LCM of 644,313,501,505,458 is 11678707763940.

Find LCM of 644,313,501,505,458 with Prime Factorization

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

2 x 322 x 313 x 501 x 505 x 229 = 11678707763940

Therefore, the lowest common multiple of 644,313,501,505,458 is 11678707763940.

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.

644 x 313 x 501 x 505 x 458 = 23357415527880

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

313 : 1, 313

501 : 1, 3, 167, 501

505 : 1, 5, 101, 505

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,313,501,505,458, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

313:313

501:3x 167

505:5x 101

458:2x 229

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 = 23357415527880/(1x2)

LCM = 23357415527880/2

LCM = 11678707763940

Thus, we can understand that the LCM of 644,313,501,505,458 is 11678707763940.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 326, 726, 345, 692, 997
• LCM of 864, 132, 791, 179, 971
• LCM of 695, 900, 198, 940, 824
• LCM of 922, 745, 448, 657, 365
• LCM of 171, 678, 588, 666, 574

1. What is the LCM of 644, 313, 501, 505, 458?

Answer: LCM of 644, 313, 501, 505, 458 is 11678707763940.

2. How to calculate the LCM of 644, 313, 501, 505, 458?

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 644, 313, 501, 505, 458.

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}.