Given numbers are 786,465,118,158,338

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

The LCM of 786,465,118,158,338 is 95966587470.

Find LCM of 786,465,118,158,338 with Prime Factorization

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

2 x 3 x 131 x 155 x 59 x 79 x 169 = 95966587470

Therefore, the lowest common multiple of 786,465,118,158,338 is 95966587470.

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.

786 x 465 x 118 x 158 x 338 = 2303198099280

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

465 : 1, 3, 5, 15, 31, 93, 155, 465

118 : 1, 2, 59, 118

158 : 1, 2, 79, 158

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,465,118,158,338, is 1.

Now, the common factors can be found like this.

786:2x 3x 131

465:3x 5x 31

118:2x 59

158:2x 79

338:2x 13x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 2303198099280/(1x24)

LCM = 2303198099280/24

LCM = 95966587470

Thus, we can understand that the LCM of 786,465,118,158,338 is 95966587470.

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

• LCM of 538, 443, 722, 824, 498
• LCM of 840, 547, 251, 186, 922
• LCM of 707, 620, 729, 607, 949
• LCM of 293, 531, 785, 710, 990
• LCM of 715, 565, 893, 362, 870

1. What is the LCM of 786, 465, 118, 158, 338?

Answer: LCM of 786, 465, 118, 158, 338 is 95966587470.

2. How to calculate the LCM of 786, 465, 118, 158, 338?

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 786, 465, 118, 158, 338.

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}.