Given numbers are 354,982,140,614

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

The LCM of 354,982,140,614 is 3735262860.

Find LCM of 354,982,140,614 with Prime Factorization

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

2 x 177 x 491 x 70 x 307 = 3735262860

Therefore, the lowest common multiple of 354,982,140,614 is 3735262860.

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.

354 x 982 x 140 x 614 = 29882102880

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

982 : 1, 2, 491, 982

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,982,140,614, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

982:2x 491

140:2x 2x 5x 7

614:2x 307

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29882102880/(2x4)

LCM = 29882102880/8

LCM = 3735262860

Thus, we can understand that the LCM of 354,982,140,614 is 3735262860.

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

• LCM of 839, 980, 868, 432
• LCM of 532, 433, 937, 465
• LCM of 132, 152, 893, 609
• LCM of 999, 435, 218, 808
• LCM of 646, 262, 226, 964

1. What is the LCM of 354, 982, 140, 614?

Answer: LCM of 354, 982, 140, 614 is 3735262860.

2. How to calculate the LCM of 354, 982, 140, 614?

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 354, 982, 140, 614.

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}.