Given numbers are 509,552,224,121,680

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

The LCM of 509,552,224,121,680 is 80913164640.

Find LCM of 509,552,224,121,680 with Prime Factorization

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

2 x 2 x 2 x 509 x 69 x 28 x 121 x 85 = 80913164640

Therefore, the lowest common multiple of 509,552,224,121,680 is 80913164640.

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.

509 x 552 x 224 x 121 x 680 = 5178442536960

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.

509 : 1, 509

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

121 : 1, 11, 121

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 509,552,224,121,680, is 1.

Now, the common factors can be found like this.

509:509

552:2x 2x 2x 3x 23

224:2x 2x 2x 2x 2x 7

121:11x 11

680:2x 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 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 5178442536960/(1x64)

LCM = 5178442536960/64

LCM = 80913164640

Thus, we can understand that the LCM of 509,552,224,121,680 is 80913164640.

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

• LCM of 586, 667, 867, 895, 146
• LCM of 426, 435, 128, 334, 152
• LCM of 844, 774, 533, 615, 488
• LCM of 935, 149, 917, 620, 731
• LCM of 243, 137, 228, 967, 602

1. What is the LCM of 509, 552, 224, 121, 680?

Answer: LCM of 509, 552, 224, 121, 680 is 80913164640.

2. How to calculate the LCM of 509, 552, 224, 121, 680?

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 509, 552, 224, 121, 680.

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}.