Given numbers are 714,195,965,780

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

The LCM of 714,195,965,780 is 17914260.

Find LCM of 714,195,965,780 with Prime Factorization

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

2 x 3 x 5 x 13 x 119 x 1 x 193 x 2 = 17914260

Therefore, the lowest common multiple of 714,195,965,780 is 17914260.

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.

714 x 195 x 965 x 780 = 104798421000

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

195 : 1, 3, 5, 13, 15, 39, 65, 195

965 : 1, 5, 193, 965

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,195,965,780, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

195:3x 5x 13

965:5x 193

780:2x 2x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 5x 13 = 5850

Therefore, the value for common factors is 5850.

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 = 104798421000/(1x5850)

LCM = 104798421000/5850

LCM = 17914260

Thus, we can understand that the LCM of 714,195,965,780 is 17914260.

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

• LCM of 637, 424, 853, 119
• LCM of 413, 322, 496, 768
• LCM of 465, 774, 593, 693
• LCM of 823, 245, 536, 338
• LCM of 919, 452, 325, 319

1. What is the LCM of 714, 195, 965, 780?

Answer: LCM of 714, 195, 965, 780 is 17914260.

2. How to calculate the LCM of 714, 195, 965, 780?

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 714, 195, 965, 780.

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}.