Given numbers are 782,269,780,842

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

The LCM of 782,269,780,842 is 34538680020.

Find LCM of 782,269,780,842 with Prime Factorization

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

2 x 391 x 269 x 390 x 421 = 34538680020

Therefore, the lowest common multiple of 782,269,780,842 is 34538680020.

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.

782 x 269 x 780 x 842 = 138154720080

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

269 : 1, 269

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

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,269,780,842, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

269:269

780:2x 2x 3x 5x 13

842:2x 421

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 138154720080/(1x4)

LCM = 138154720080/4

LCM = 34538680020

Thus, we can understand that the LCM of 782,269,780,842 is 34538680020.

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

• LCM of 521, 619, 761, 305
• LCM of 175, 721, 751, 644
• LCM of 375, 912, 850, 304
• LCM of 493, 202, 985, 726
• LCM of 650, 340, 983, 682

1. What is the LCM of 782, 269, 780, 842?

Answer: LCM of 782, 269, 780, 842 is 34538680020.

2. How to calculate the LCM of 782, 269, 780, 842?

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 782, 269, 780, 842.

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}.