Given numbers are 702,379,354,609,510

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

The LCM of 702,379,354,609,510 is 270859016610.

Find LCM of 702,379,354,609,510 with Prime Factorization

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

2 x 3 x 117 x 379 x 59 x 203 x 85 = 270859016610

Therefore, the lowest common multiple of 702,379,354,609,510 is 270859016610.

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.

702 x 379 x 354 x 609 x 510 = 29252773793880

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

379 : 1, 379

354 : 1, 2, 3, 6, 59, 118, 177, 354

609 : 1, 3, 7, 21, 29, 87, 203, 609

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,379,354,609,510, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

379:379

354:2x 3x 59

609:3x 7x 29

510:2x 3x 5x 17

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 29252773793880/(1x108)

LCM = 29252773793880/108

LCM = 270859016610

Thus, we can understand that the LCM of 702,379,354,609,510 is 270859016610.

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

• LCM of 661, 894, 138, 845, 256
• LCM of 385, 156, 783, 569, 817
• LCM of 853, 861, 997, 365, 306
• LCM of 636, 143, 301, 606, 360
• LCM of 117, 272, 797, 995, 857

1. What is the LCM of 702, 379, 354, 609, 510?

Answer: LCM of 702, 379, 354, 609, 510 is 270859016610.

2. How to calculate the LCM of 702, 379, 354, 609, 510?

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 702, 379, 354, 609, 510.

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}.