Given numbers are 461,805,720,146,420

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

The LCM of 461,805,720,146,420 is 3901055760.

Find LCM of 461,805,720,146,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 461 x 23 x 12 x 73 x 1 = 3901055760

Therefore, the lowest common multiple of 461,805,720,146,420 is 3901055760.

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.

461 x 805 x 720 x 146 x 420 = 16384434192000

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.

461 : 1, 461

805 : 1, 5, 7, 23, 35, 115, 161, 805

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

146 : 1, 2, 73, 146

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,805,720,146,420, is 1.

Now, the common factors can be found like this.

461:461

805:5x 7x 23

720:2x 2x 2x 2x 3x 3x 5

146:2x 73

420:2x 2x 3x 5x 7

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 5x 5x 7 = 4200

Therefore, the value for common factors is 4200.

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 = 16384434192000/(1x4200)

LCM = 16384434192000/4200

LCM = 3901055760

Thus, we can understand that the LCM of 461,805,720,146,420 is 3901055760.

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

• LCM of 601, 358, 283, 781, 351
• LCM of 778, 642, 847, 970, 612
• LCM of 707, 939, 713, 320, 437
• LCM of 944, 688, 640, 302, 445
• LCM of 240, 516, 657, 408, 297

1. What is the LCM of 461, 805, 720, 146, 420?

Answer: LCM of 461, 805, 720, 146, 420 is 3901055760.

2. How to calculate the LCM of 461, 805, 720, 146, 420?

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 461, 805, 720, 146, 420.

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}.