Given numbers are 708,722,456,506,408

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

The LCM of 708,722,456,506,408 is 2198567976.

Find LCM of 708,722,456,506,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 59 x 1 x 19 x 253 x 17 = 2198567976

Therefore, the lowest common multiple of 708,722,456,506,408 is 2198567976.

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.

708 x 722 x 456 x 506 x 408 = 48122255858688

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

722 : 1, 2, 19, 38, 361, 722

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

506 : 1, 2, 11, 22, 23, 46, 253, 506

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,722,456,506,408, is 2.

Now, the common factors can be found like this.

708:2x 2x 3x 59

722:2x 19x 19

456:2x 2x 2x 3x 19

506:2x 11x 23

408:2x 2x 2x 3x 17

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 2x 2x 3x 3x 19 = 10944

Therefore, the value for common factors is 10944.

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 = 48122255858688/(2x10944)

LCM = 48122255858688/21888

LCM = 2198567976

Thus, we can understand that the LCM of 708,722,456,506,408 is 2198567976.

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

• LCM of 847, 435, 761, 303, 318
• LCM of 385, 241, 939, 910, 329
• LCM of 263, 773, 103, 983, 408
• LCM of 882, 430, 825, 125, 523
• LCM of 234, 678, 955, 618, 160

1. What is the LCM of 708, 722, 456, 506, 408?

Answer: LCM of 708, 722, 456, 506, 408 is 2198567976.

2. How to calculate the LCM of 708, 722, 456, 506, 408?

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 708, 722, 456, 506, 408.

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}.