Given numbers are 201,936,823,546,980

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

The LCM of 201,936,823,546,980 is 12644934120.

Find LCM of 201,936,823,546,980 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 67 x 6 x 823 x 1 x 35 = 12644934120

Therefore, the lowest common multiple of 201,936,823,546,980 is 12644934120.

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.

201 x 936 x 823 x 546 x 980 = 82849608354240

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.

201 : 1, 3, 67, 201

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

823 : 1, 823

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 201,936,823,546,980, is 1.

Now, the common factors can be found like this.

201:3x 67

936:2x 2x 2x 3x 3x 13

823:823

546:2x 3x 7x 13

980:2x 2x 5x 7x 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 3x 3x 7x 13 = 6552

Therefore, the value for common factors is 6552.

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 = 82849608354240/(1x6552)

LCM = 82849608354240/6552

LCM = 12644934120

Thus, we can understand that the LCM of 201,936,823,546,980 is 12644934120.

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

• LCM of 246, 927, 273, 110, 385
• LCM of 602, 471, 992, 893, 502
• LCM of 400, 452, 310, 836, 889
• LCM of 535, 508, 623, 818, 794
• LCM of 919, 635, 557, 763, 506

1. What is the LCM of 201, 936, 823, 546, 980?

Answer: LCM of 201, 936, 823, 546, 980 is 12644934120.

2. How to calculate the LCM of 201, 936, 823, 546, 980?

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 201, 936, 823, 546, 980.

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}.