Given numbers are 820,506,338,701

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

The LCM of 820,506,338,701 is 24577578740.

Find LCM of 820,506,338,701 with Prime Factorization

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

2 x 410 x 253 x 169 x 701 = 24577578740

Therefore, the lowest common multiple of 820,506,338,701 is 24577578740.

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.

820 x 506 x 338 x 701 = 98310314960

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

506 : 1, 2, 11, 22, 23, 46, 253, 506

338 : 1, 2, 13, 26, 169, 338

701 : 1, 701

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,506,338,701, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

506:2x 11x 23

338:2x 13x 13

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 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 = 98310314960/(1x4)

LCM = 98310314960/4

LCM = 24577578740

Thus, we can understand that the LCM of 820,506,338,701 is 24577578740.

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

• LCM of 994, 185, 196, 987
• LCM of 401, 446, 732, 728
• LCM of 533, 584, 353, 781
• LCM of 298, 561, 868, 107
• LCM of 597, 391, 161, 854

1. What is the LCM of 820, 506, 338, 701?

Answer: LCM of 820, 506, 338, 701 is 24577578740.

2. How to calculate the LCM of 820, 506, 338, 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 820, 506, 338, 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}.