Given numbers are 643,121,221,748

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

The LCM of 643,121,221,748 is 68777852.

Find LCM of 643,121,221,748 with Prime Factorization

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

11 x 17 x 643 x 11 x 13 x 4 = 68777852

Therefore, the lowest common multiple of 643,121,221,748 is 68777852.

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.

643 x 121 x 221 x 748 = 12861458324

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.

643 : 1, 643

121 : 1, 11, 121

221 : 1, 13, 17, 221

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,121,221,748, is 1.

Now, the common factors can be found like this.

643:643

121:11x 11

221:13x 17

748:2x 2x 11x 17

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

11x 17 = 187

Therefore, the value for common factors is 187.

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 = 12861458324/(1x187)

LCM = 12861458324/187

LCM = 68777852

Thus, we can understand that the LCM of 643,121,221,748 is 68777852.

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

• LCM of 220, 729, 112, 244
• LCM of 171, 715, 746, 910
• LCM of 773, 593, 667, 113
• LCM of 571, 222, 679, 882
• LCM of 171, 971, 846, 771

1. What is the LCM of 643, 121, 221, 748?

Answer: LCM of 643, 121, 221, 748 is 68777852.

2. How to calculate the LCM of 643, 121, 221, 748?

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 643, 121, 221, 748.

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}.