Given numbers are 870,511,438,780

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

The LCM of 870,511,438,780 is 11558820.

Find LCM of 870,511,438,780 with Prime Factorization

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

2 x 3 x 5 x 73 x 29 x 7 x 1 x 26 = 11558820

Therefore, the lowest common multiple of 870,511,438,780 is 11558820.

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.

870 x 511 x 438 x 780 = 151882894800

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

511 : 1, 7, 73, 511

438 : 1, 2, 3, 6, 73, 146, 219, 438

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 870,511,438,780, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

511:7x 73

438:2x 3x 73

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 2x 3x 3x 5x 73 = 13140

Therefore, the value for common factors is 13140.

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 = 151882894800/(1x13140)

LCM = 151882894800/13140

LCM = 11558820

Thus, we can understand that the LCM of 870,511,438,780 is 11558820.

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

• LCM of 318, 497, 776, 914
• LCM of 637, 601, 481, 767
• LCM of 475, 995, 218, 426
• LCM of 163, 862, 393, 396
• LCM of 436, 858, 295, 326

1. What is the LCM of 870, 511, 438, 780?

Answer: LCM of 870, 511, 438, 780 is 11558820.

2. How to calculate the LCM of 870, 511, 438, 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 870, 511, 438, 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}.