Given numbers are 936,174,961,297,214

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

The LCM of 936,174,961,297,214 is 92107490904.

Find LCM of 936,174,961,297,214 with Prime Factorization

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

2 x 3 x 3 x 52 x 29 x 961 x 33 x 107 = 92107490904

Therefore, the lowest common multiple of 936,174,961,297,214 is 92107490904.

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.

936 x 174 x 961 x 297 x 214 = 9947609017632

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.

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

174 : 1, 2, 3, 6, 29, 58, 87, 174

961 : 1, 31, 961

297 : 1, 3, 9, 11, 27, 33, 99, 297

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,174,961,297,214, is 1.

Now, the common factors can be found like this.

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

174:2x 3x 29

961:31x 31

297:3x 3x 3x 11

214:2x 107

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 3 = 108

Therefore, the value for common factors is 108.

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 = 9947609017632/(1x108)

LCM = 9947609017632/108

LCM = 92107490904

Thus, we can understand that the LCM of 936,174,961,297,214 is 92107490904.

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

• LCM of 306, 819, 748, 743, 944
• LCM of 455, 980, 265, 667, 145
• LCM of 634, 284, 185, 726, 182
• LCM of 223, 899, 915, 645, 728
• LCM of 543, 448, 294, 140, 201

1. What is the LCM of 936, 174, 961, 297, 214?

Answer: LCM of 936, 174, 961, 297, 214 is 92107490904.

2. How to calculate the LCM of 936, 174, 961, 297, 214?

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 936, 174, 961, 297, 214.

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}.