Given numbers are 960,704,722,686

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

The LCM of 960,704,722,686 is 1307570880.

Find LCM of 960,704,722,686 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 15 x 11 x 361 x 343 = 1307570880

Therefore, the lowest common multiple of 960,704,722,686 is 1307570880.

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.

960 x 704 x 722 x 686 = 334738145280

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

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

686 : 1, 2, 7, 14, 49, 98, 343, 686

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,704,722,686, is 2.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

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

722:2x 19x 19

686:2x 7x 7x 7

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 2 = 128

Therefore, the value for common factors is 128.

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 = 334738145280/(2x128)

LCM = 334738145280/256

LCM = 1307570880

Thus, we can understand that the LCM of 960,704,722,686 is 1307570880.

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

• LCM of 364, 351, 934, 841
• LCM of 174, 354, 915, 910
• LCM of 285, 847, 418, 773
• LCM of 393, 615, 443, 944
• LCM of 880, 577, 278, 321

1. What is the LCM of 960, 704, 722, 686?

Answer: LCM of 960, 704, 722, 686 is 1307570880.

2. How to calculate the LCM of 960, 704, 722, 686?

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 960, 704, 722, 686.

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}.