Given numbers are 700,803,414,351

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

The LCM of 700,803,414,351 is 4537833300.

Find LCM of 700,803,414,351 with Prime Factorization

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

2 x 3 x 3 x 350 x 803 x 23 x 39 = 4537833300

Therefore, the lowest common multiple of 700,803,414,351 is 4537833300.

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.

700 x 803 x 414 x 351 = 81680999400

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.

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

803 : 1, 11, 73, 803

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 700,803,414,351, is 1.

Now, the common factors can be found like this.

700:2x 2x 5x 5x 7

803:11x 73

414:2x 3x 3x 23

351:3x 3x 3x 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 3 = 18

Therefore, the value for common factors is 18.

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 = 81680999400/(1x18)

LCM = 81680999400/18

LCM = 4537833300

Thus, we can understand that the LCM of 700,803,414,351 is 4537833300.

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

• LCM of 103, 525, 404, 805
• LCM of 639, 260, 576, 395
• LCM of 505, 755, 232, 216
• LCM of 680, 830, 390, 606
• LCM of 985, 991, 370, 945

1. What is the LCM of 700, 803, 414, 351?

Answer: LCM of 700, 803, 414, 351 is 4537833300.

2. How to calculate the LCM of 700, 803, 414, 351?

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 700, 803, 414, 351.

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}.