Given numbers are 140,421,706,30

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

The LCM of 140,421,706,30 is 62417460.

Find LCM of 140,421,706,30 with Prime Factorization

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

2 x 5 x 14 x 421 x 353 x 3 = 62417460

Therefore, the lowest common multiple of 140,421,706,30 is 62417460.

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.

140 x 421 x 706 x 30 = 1248349200

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.

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

421 : 1, 421

706 : 1, 2, 353, 706

30 : 1, 2, 3, 5, 6, 10, 15, 30

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,421,706,30, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

421:421

706:2x 353

30:2x 3x 5

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 = 1248349200/(1x20)

LCM = 1248349200/20

LCM = 62417460

Thus, we can understand that the LCM of 140,421,706,30 is 62417460.

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

• LCM of 703, 513, 727, 31
• LCM of 341, 200, 647, 89
• LCM of 768, 401, 324, 40
• LCM of 312, 984, 391, 11
• LCM of 246, 936, 961, 25

1. What is the LCM of 140, 421, 706, 30?

Answer: LCM of 140, 421, 706, 30 is 62417460.

2. How to calculate the LCM of 140, 421, 706, 30?

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 140, 421, 706, 30.

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}.