Given numbers are 398,141,126,128,402

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

The LCM of 398,141,126,128,402 is 5053313664.

Find LCM of 398,141,126,128,402 with Prime Factorization

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

2 x 3 x 199 x 47 x 21 x 64 x 67 = 5053313664

Therefore, the lowest common multiple of 398,141,126,128,402 is 5053313664.

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.

398 x 141 x 126 x 128 x 402 = 363838583808

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.

398 : 1, 2, 199, 398

141 : 1, 3, 47, 141

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

128 : 1, 2, 4, 8, 16, 32, 64, 128

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 398,141,126,128,402, is 1.

Now, the common factors can be found like this.

398:2x 199

141:3x 47

126:2x 3x 3x 7

128:2x 2x 2x 2x 2x 2x 2

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 363838583808/(1x72)

LCM = 363838583808/72

LCM = 5053313664

Thus, we can understand that the LCM of 398,141,126,128,402 is 5053313664.

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

• LCM of 434, 359, 158, 747, 855
• LCM of 590, 655, 218, 763, 368
• LCM of 303, 197, 723, 330, 417
• LCM of 701, 178, 156, 748, 527
• LCM of 104, 469, 634, 981, 186

1. What is the LCM of 398, 141, 126, 128, 402?

Answer: LCM of 398, 141, 126, 128, 402 is 5053313664.

2. How to calculate the LCM of 398, 141, 126, 128, 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 398, 141, 126, 128, 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}.