Given numbers are 290,611,128,960

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

The LCM of 290,611,128,960 is 34020480.

Find LCM of 290,611,128,960 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 5 x 29 x 611 x 2 x 3 = 34020480

Therefore, the lowest common multiple of 290,611,128,960 is 34020480.

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.

290 x 611 x 128 x 960 = 21773107200

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

611 : 1, 13, 47, 611

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,611,128,960, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

611:13x 47

128:2x 2x 2x 2x 2x 2x 2

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

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 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 21773107200/(1x640)

LCM = 21773107200/640

LCM = 34020480

Thus, we can understand that the LCM of 290,611,128,960 is 34020480.

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

• LCM of 692, 242, 967, 547
• LCM of 102, 334, 602, 501
• LCM of 127, 710, 710, 258
• LCM of 977, 879, 428, 192
• LCM of 193, 139, 222, 974

1. What is the LCM of 290, 611, 128, 960?

Answer: LCM of 290, 611, 128, 960 is 34020480.

2. How to calculate the LCM of 290, 611, 128, 960?

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 290, 611, 128, 960.

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}.