Given numbers are 370,214,446,270,980

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

The LCM of 370,214,446,270,980 is 23360396220.

Find LCM of 370,214,446,270,980 with Prime Factorization

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

2 x 5 x 37 x 107 x 223 x 27 x 98 = 23360396220

Therefore, the lowest common multiple of 370,214,446,270,980 is 23360396220.

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.

370 x 214 x 446 x 270 x 980 = 9344158488000

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.

370 : 1, 2, 5, 10, 37, 74, 185, 370

214 : 1, 2, 107, 214

446 : 1, 2, 223, 446

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 370,214,446,270,980, is 2.

Now, the common factors can be found like this.

370:2x 5x 37

214:2x 107

446:2x 223

270:2x 3x 3x 3x 5

980:2x 2x 5x 7x 7

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 9344158488000/(2x200)

LCM = 9344158488000/400

LCM = 23360396220

Thus, we can understand that the LCM of 370,214,446,270,980 is 23360396220.

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

• LCM of 731, 554, 617, 686, 996
• LCM of 495, 993, 661, 256, 191
• LCM of 254, 830, 868, 296, 391
• LCM of 337, 752, 191, 649, 792
• LCM of 884, 764, 563, 693, 752

1. What is the LCM of 370, 214, 446, 270, 980?

Answer: LCM of 370, 214, 446, 270, 980 is 23360396220.

2. How to calculate the LCM of 370, 214, 446, 270, 980?

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 370, 214, 446, 270, 980.

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}.