Given numbers are 363,940,420,163,700

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

The LCM of 363,940,420,163,700 is 1946660100.

Find LCM of 363,940,420,163,700 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 121 x 47 x 1 x 163 x 5 = 1946660100

Therefore, the lowest common multiple of 363,940,420,163,700 is 1946660100.

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.

363 x 940 x 420 x 163 x 700 = 16351944840000

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.

363 : 1, 3, 11, 33, 121, 363

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

163 : 1, 163

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,940,420,163,700, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

940:2x 2x 5x 47

420:2x 2x 3x 5x 7

163:163

700:2x 2x 5x 5x 7

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 3x 5x 5x 7 = 8400

Therefore, the value for common factors is 8400.

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 = 16351944840000/(1x8400)

LCM = 16351944840000/8400

LCM = 1946660100

Thus, we can understand that the LCM of 363,940,420,163,700 is 1946660100.

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

• LCM of 487, 408, 388, 556, 112
• LCM of 564, 342, 648, 531, 803
• LCM of 973, 395, 478, 840, 668
• LCM of 940, 936, 496, 971, 185
• LCM of 331, 108, 597, 889, 128

1. What is the LCM of 363, 940, 420, 163, 700?

Answer: LCM of 363, 940, 420, 163, 700 is 1946660100.

2. How to calculate the LCM of 363, 940, 420, 163, 700?

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 363, 940, 420, 163, 700.

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}.