Given numbers are 328,290,830,107,117

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

The LCM of 328,290,830,107,117 is 49418502120.

Find LCM of 328,290,830,107,117 with Prime Factorization

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

2 x 5 x 164 x 29 x 83 x 107 x 117 = 49418502120

Therefore, the lowest common multiple of 328,290,830,107,117 is 49418502120.

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.

328 x 290 x 830 x 107 x 117 = 988370042400

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

290 : 1, 2, 5, 10, 29, 58, 145, 290

830 : 1, 2, 5, 10, 83, 166, 415, 830

107 : 1, 107

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,290,830,107,117, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

290:2x 5x 29

830:2x 5x 83

107:107

117:3x 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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 988370042400/(1x20)

LCM = 988370042400/20

LCM = 49418502120

Thus, we can understand that the LCM of 328,290,830,107,117 is 49418502120.

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

• LCM of 427, 334, 603, 671, 881
• LCM of 719, 238, 104, 745, 735
• LCM of 240, 491, 523, 391, 680
• LCM of 603, 565, 459, 200, 890
• LCM of 126, 166, 759, 832, 309

1. What is the LCM of 328, 290, 830, 107, 117?

Answer: LCM of 328, 290, 830, 107, 117 is 49418502120.

2. How to calculate the LCM of 328, 290, 830, 107, 117?

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 328, 290, 830, 107, 117.

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}.