Given numbers are 221,972,748,736

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

The LCM of 221,972,748,736 is 434779488.

Find LCM of 221,972,748,736 with Prime Factorization

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

2 x 2 x 17 x 13 x 243 x 11 x 184 = 434779488

Therefore, the lowest common multiple of 221,972,748,736 is 434779488.

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.

221 x 972 x 748 x 736 = 118260020736

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.

221 : 1, 13, 17, 221

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,972,748,736, is 1.

Now, the common factors can be found like this.

221:13x 17

972:2x 2x 3x 3x 3x 3x 3

748:2x 2x 11x 17

736:2x 2x 2x 2x 2x 23

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 17 = 272

Therefore, the value for common factors is 272.

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 = 118260020736/(1x272)

LCM = 118260020736/272

LCM = 434779488

Thus, we can understand that the LCM of 221,972,748,736 is 434779488.

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

• LCM of 835, 723, 164, 384
• LCM of 959, 855, 769, 725
• LCM of 461, 649, 166, 661
• LCM of 854, 247, 834, 789
• LCM of 232, 274, 638, 524

1. What is the LCM of 221, 972, 748, 736?

Answer: LCM of 221, 972, 748, 736 is 434779488.

2. How to calculate the LCM of 221, 972, 748, 736?

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 221, 972, 748, 736.

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}.