Given numbers are 564,161,340

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

The LCM of 564,161,340 is 7718340.

Find LCM of 564,161,340 with Prime Factorization

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

2 x 2 x 141 x 161 x 85 = 7718340

Therefore, the lowest common multiple of 564,161,340 is 7718340.

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.

564 x 161 x 340 = 30873360

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

161 : 1, 7, 23, 161

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,161,340, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

161:7x 23

340:2x 2x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 30873360/(1x4)

LCM = 30873360/4

LCM = 7718340

Thus, we can understand that the LCM of 564,161,340 is 7718340.

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

• LCM of 971, 145, 989
• LCM of 337, 573, 548
• LCM of 866, 359, 221
• LCM of 124, 865, 333
• LCM of 579, 284, 490

1. What is the LCM of 564, 161, 340?

Answer: LCM of 564, 161, 340 is 7718340.

2. How to calculate the LCM of 564, 161, 340?

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 564, 161, 340.

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}.