Given numbers are 435,402,234,820,420

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

The LCM of 435,402,234,820,420 is 1304879940.

Find LCM of 435,402,234,820,420 with Prime Factorization

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

2 x 2 x 3 x 5 x 29 x 67 x 39 x 41 x 7 = 1304879940

Therefore, the lowest common multiple of 435,402,234,820,420 is 1304879940.

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.

435 x 402 x 234 x 820 x 420 = 14092703352000

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

402 : 1, 2, 3, 6, 67, 134, 201, 402

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 435,402,234,820,420, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

402:2x 3x 67

234:2x 3x 3x 13

820:2x 2x 5x 41

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 3x 3x 5x 5 = 10800

Therefore, the value for common factors is 10800.

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 = 14092703352000/(1x10800)

LCM = 14092703352000/10800

LCM = 1304879940

Thus, we can understand that the LCM of 435,402,234,820,420 is 1304879940.

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

• LCM of 428, 597, 573, 270, 419
• LCM of 125, 865, 390, 636, 482
• LCM of 957, 641, 641, 203, 648
• LCM of 902, 503, 552, 899, 929
• LCM of 519, 647, 730, 829, 154

1. What is the LCM of 435, 402, 234, 820, 420?

Answer: LCM of 435, 402, 234, 820, 420 is 1304879940.

2. How to calculate the LCM of 435, 402, 234, 820, 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 435, 402, 234, 820, 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}.