Given numbers are 315,452,728,437,420

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

The LCM of 315,452,728,437,420 is 1617721560.

Find LCM of 315,452,728,437,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 1 x 113 x 26 x 437 x 3 = 1617721560

Therefore, the lowest common multiple of 315,452,728,437,420 is 1617721560.

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.

315 x 452 x 728 x 437 x 420 = 19024405545600

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

452 : 1, 2, 4, 113, 226, 452

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

437 : 1, 19, 23, 437

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 315,452,728,437,420, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

452:2x 2x 113

728:2x 2x 2x 7x 13

437:19x 23

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 2x 3x 5x 7x 7 = 11760

Therefore, the value for common factors is 11760.

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 = 19024405545600/(1x11760)

LCM = 19024405545600/11760

LCM = 1617721560

Thus, we can understand that the LCM of 315,452,728,437,420 is 1617721560.

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

• LCM of 704, 465, 316, 969, 384
• LCM of 281, 877, 795, 956, 369
• LCM of 372, 350, 841, 931, 408
• LCM of 302, 152, 553, 139, 846
• LCM of 279, 124, 663, 945, 164

1. What is the LCM of 315, 452, 728, 437, 420?

Answer: LCM of 315, 452, 728, 437, 420 is 1617721560.

2. How to calculate the LCM of 315, 452, 728, 437, 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 315, 452, 728, 437, 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}.