Given numbers are 135,598,919,214,402

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

The LCM of 135,598,919,214,402 is 531874347030.

Find LCM of 135,598,919,214,402 with Prime Factorization

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

2 x 3 x 45 x 299 x 919 x 107 x 67 = 531874347030

Therefore, the lowest common multiple of 135,598,919,214,402 is 531874347030.

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.

135 x 598 x 919 x 214 x 402 = 6382492164360

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

598 : 1, 2, 13, 23, 26, 46, 299, 598

919 : 1, 919

214 : 1, 2, 107, 214

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,598,919,214,402, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

598:2x 13x 23

919:919

214:2x 107

402:2x 3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 6382492164360/(1x12)

LCM = 6382492164360/12

LCM = 531874347030

Thus, we can understand that the LCM of 135,598,919,214,402 is 531874347030.

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

• LCM of 390, 491, 294, 487, 401
• LCM of 735, 721, 288, 526, 933
• LCM of 269, 929, 791, 920, 624
• LCM of 165, 176, 201, 237, 734
• LCM of 793, 694, 414, 924, 127

1. What is the LCM of 135, 598, 919, 214, 402?

Answer: LCM of 135, 598, 919, 214, 402 is 531874347030.

2. How to calculate the LCM of 135, 598, 919, 214, 402?

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 135, 598, 919, 214, 402.

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}.