Given numbers are 540,390,620,168,428

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

The LCM of 540,390,620,168,428 is 325994760.

Find LCM of 540,390,620,168,428 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 13 x 31 x 14 x 107 = 325994760

Therefore, the lowest common multiple of 540,390,620,168,428 is 325994760.

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.

540 x 390 x 620 x 168 x 428 = 9388649088000

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

428 : 1, 2, 4, 107, 214, 428

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,390,620,168,428, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

390:2x 3x 5x 13

620:2x 2x 5x 31

168:2x 2x 2x 3x 7

428:2x 2x 107

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 2x 3x 3x 5x 5 = 14400

Therefore, the value for common factors is 14400.

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 = 9388649088000/(2x14400)

LCM = 9388649088000/28800

LCM = 325994760

Thus, we can understand that the LCM of 540,390,620,168,428 is 325994760.

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

• LCM of 746, 734, 697, 843, 477
• LCM of 309, 132, 172, 448, 710
• LCM of 942, 272, 221, 156, 970
• LCM of 985, 490, 709, 862, 867
• LCM of 772, 497, 153, 248, 535

1. What is the LCM of 540, 390, 620, 168, 428?

Answer: LCM of 540, 390, 620, 168, 428 is 325994760.

2. How to calculate the LCM of 540, 390, 620, 168, 428?

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 540, 390, 620, 168, 428.

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}.