Given numbers are 780,236,268,670,701

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

The LCM of 780,236,268,670,701 is 2161421340.

Find LCM of 780,236,268,670,701 with Prime Factorization

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

2 x 2 x 5 x 67 x 39 x 59 x 1 x 1 x 701 = 2161421340

Therefore, the lowest common multiple of 780,236,268,670,701 is 2161421340.

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.

780 x 236 x 268 x 670 x 701 = 23170436764800

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.

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

236 : 1, 2, 4, 59, 118, 236

268 : 1, 2, 4, 67, 134, 268

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

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,236,268,670,701, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

236:2x 2x 59

268:2x 2x 67

670:2x 5x 67

701:701

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 5x 67 = 10720

Therefore, the value for common factors is 10720.

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 = 23170436764800/(1x10720)

LCM = 23170436764800/10720

LCM = 2161421340

Thus, we can understand that the LCM of 780,236,268,670,701 is 2161421340.

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

• LCM of 457, 746, 371, 312, 371
• LCM of 254, 270, 848, 714, 735
• LCM of 803, 370, 258, 705, 309
• LCM of 156, 740, 546, 859, 688
• LCM of 598, 458, 770, 776, 825

1. What is the LCM of 780, 236, 268, 670, 701?

Answer: LCM of 780, 236, 268, 670, 701 is 2161421340.

2. How to calculate the LCM of 780, 236, 268, 670, 701?

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 780, 236, 268, 670, 701.

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}.