Given numbers are 561,403,119,719,984

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

The LCM of 561,403,119,719,984 is 373223242392.

Find LCM of 561,403,119,719,984 with Prime Factorization

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

3 x 17 x 11 x 403 x 7 x 719 x 328 = 373223242392

Therefore, the lowest common multiple of 561,403,119,719,984 is 373223242392.

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 403 x 119 x 719 x 984 = 19034385361992

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

403 : 1, 13, 31, 403

119 : 1, 7, 17, 119

719 : 1, 719

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,403,119,719,984, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

403:13x 31

119:7x 17

719:719

984:2x 2x 2x 3x 41

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 19034385361992/(1x51)

LCM = 19034385361992/51

LCM = 373223242392

Thus, we can understand that the LCM of 561,403,119,719,984 is 373223242392.

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

• LCM of 358, 950, 382, 314, 510
• LCM of 279, 829, 984, 487, 648
• LCM of 922, 400, 160, 299, 186
• LCM of 648, 443, 400, 683, 950
• LCM of 686, 742, 304, 167, 554

1. What is the LCM of 561, 403, 119, 719, 984?

Answer: LCM of 561, 403, 119, 719, 984 is 373223242392.

2. How to calculate the LCM of 561, 403, 119, 719, 984?

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, 403, 119, 719, 984.

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}.