Given numbers are 561,305,506,967

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

The LCM of 561,305,506,967 is 7611092610.

Find LCM of 561,305,506,967 with Prime Factorization

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

11 x 51 x 305 x 46 x 967 = 7611092610

Therefore, the lowest common multiple of 561,305,506,967 is 7611092610.

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.

561 x 305 x 506 x 967 = 83722018710

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.

561 : 1, 3, 11, 17, 33, 51, 187, 561

305 : 1, 5, 61, 305

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

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,305,506,967, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

305:5x 61

506:2x 11x 23

967:967

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

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 = 83722018710/(1x11)

LCM = 83722018710/11

LCM = 7611092610

Thus, we can understand that the LCM of 561,305,506,967 is 7611092610.

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

• LCM of 597, 594, 547, 927
• LCM of 448, 766, 443, 280
• LCM of 661, 778, 896, 680
• LCM of 784, 834, 104, 663
• LCM of 509, 981, 852, 169

1. What is the LCM of 561, 305, 506, 967?

Answer: LCM of 561, 305, 506, 967 is 7611092610.

2. How to calculate the LCM of 561, 305, 506, 967?

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 561, 305, 506, 967.

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}.