Given numbers are 561,969,748,839,867

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

The LCM of 561,969,748,839,867 is 608117268.

Find LCM of 561,969,748,839,867 with Prime Factorization

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

3 x 11 x 17 x 1 x 19 x 4 x 839 x 17 = 608117268

Therefore, the lowest common multiple of 561,969,748,839,867 is 608117268.

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 969 x 748 x 839 x 867 = 295780333630716

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

839 : 1, 839

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,969,748,839,867, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

969:3x 17x 19

748:2x 2x 11x 17

839:839

867:3x 17x 17

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

3x 3x 11x 17x 17x 17 = 486387

Therefore, the value for common factors is 486387.

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 = 295780333630716/(1x486387)

LCM = 295780333630716/486387

LCM = 608117268

Thus, we can understand that the LCM of 561,969,748,839,867 is 608117268.

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

• LCM of 740, 946, 297, 672, 846
• LCM of 935, 368, 268, 422, 411
• LCM of 502, 284, 410, 423, 993
• LCM of 549, 485, 654, 730, 896
• LCM of 957, 847, 500, 133, 893

1. What is the LCM of 561, 969, 748, 839, 867?

Answer: LCM of 561, 969, 748, 839, 867 is 608117268.

2. How to calculate the LCM of 561, 969, 748, 839, 867?

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, 969, 748, 839, 867.

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}.