Given numbers are 704,540,334,490,770

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

The LCM of 704,540,334,490,770 is 777712320.

Find LCM of 704,540,334,490,770 with Prime Factorization

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

2 x 2 x 5 x 7 x 11 x 16 x 27 x 167 x 7 x 1 = 777712320

Therefore, the lowest common multiple of 704,540,334,490,770 is 777712320.

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.

704 x 540 x 334 x 490 x 770 = 47907078912000

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

334 : 1, 2, 167, 334

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,540,334,490,770, is 2.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

540:2x 2x 3x 3x 3x 5

334:2x 167

490:2x 5x 7x 7

770:2x 5x 7x 11

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 5x 5x 7x 11 = 30800

Therefore, the value for common factors is 30800.

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 = 47907078912000/(2x30800)

LCM = 47907078912000/61600

LCM = 777712320

Thus, we can understand that the LCM of 704,540,334,490,770 is 777712320.

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

• LCM of 933, 429, 877, 133, 469
• LCM of 227, 969, 348, 687, 240
• LCM of 550, 793, 205, 937, 573
• LCM of 813, 185, 944, 991, 735
• LCM of 978, 744, 928, 287, 882

1. What is the LCM of 704, 540, 334, 490, 770?

Answer: LCM of 704, 540, 334, 490, 770 is 777712320.

2. How to calculate the LCM of 704, 540, 334, 490, 770?

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 704, 540, 334, 490, 770.

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}.