Given numbers are 643,670,820,720,490

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

The LCM of 643,670,820,720,490 is 62315804880.

Find LCM of 643,670,820,720,490 with Prime Factorization

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

2 x 2 x 5 x 643 x 67 x 41 x 36 x 49 = 62315804880

Therefore, the lowest common multiple of 643,670,820,720,490 is 62315804880.

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.

643 x 670 x 820 x 720 x 490 = 124631609760000

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.

643 : 1, 643

670 : 1, 2, 5, 10, 67, 134, 335, 670

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

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 643,670,820,720,490, is 1.

Now, the common factors can be found like this.

643:643

670:2x 5x 67

820:2x 2x 5x 41

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

490:2x 5x 7x 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 5x 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 124631609760000/(1x2000)

LCM = 124631609760000/2000

LCM = 62315804880

Thus, we can understand that the LCM of 643,670,820,720,490 is 62315804880.

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

• LCM of 194, 789, 966, 469, 613
• LCM of 878, 142, 591, 176, 361
• LCM of 824, 874, 579, 664, 600
• LCM of 967, 298, 597, 831, 186
• LCM of 506, 670, 299, 932, 502

1. What is the LCM of 643, 670, 820, 720, 490?

Answer: LCM of 643, 670, 820, 720, 490 is 62315804880.

2. How to calculate the LCM of 643, 670, 820, 720, 490?

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 643, 670, 820, 720, 490.

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}.