Given numbers are 468,420,774,235,565

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

The LCM of 468,420,774,235,565 is 3740749740.

Find LCM of 468,420,774,235,565 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 7 x 43 x 47 x 113 = 3740749740

Therefore, the lowest common multiple of 468,420,774,235,565 is 3740749740.

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.

468 x 420 x 774 x 235 x 565 = 20200048596000

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

235 : 1, 5, 47, 235

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,420,774,235,565, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

420:2x 2x 3x 5x 7

774:2x 3x 3x 43

235:5x 47

565:5x 113

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 3x 3x 3x 5x 5 = 5400

Therefore, the value for common factors is 5400.

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 = 20200048596000/(1x5400)

LCM = 20200048596000/5400

LCM = 3740749740

Thus, we can understand that the LCM of 468,420,774,235,565 is 3740749740.

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

• LCM of 993, 154, 384, 994, 331
• LCM of 717, 932, 608, 205, 487
• LCM of 120, 131, 986, 440, 619
• LCM of 841, 834, 728, 235, 680
• LCM of 468, 635, 101, 610, 730

1. What is the LCM of 468, 420, 774, 235, 565?

Answer: LCM of 468, 420, 774, 235, 565 is 3740749740.

2. How to calculate the LCM of 468, 420, 774, 235, 565?

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 468, 420, 774, 235, 565.

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}.