Given numbers are 412,592,938,146,370

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

The LCM of 412,592,938,146,370 is 10438176560.

Find LCM of 412,592,938,146,370 with Prime Factorization

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

2 x 2 x 37 x 103 x 4 x 469 x 73 x 5 = 10438176560

Therefore, the lowest common multiple of 412,592,938,146,370 is 10438176560.

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.

412 x 592 x 938 x 146 x 370 = 12358801047040

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.

412 : 1, 2, 4, 103, 206, 412

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

938 : 1, 2, 7, 14, 67, 134, 469, 938

146 : 1, 2, 73, 146

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,592,938,146,370, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

592:2x 2x 2x 2x 37

938:2x 7x 67

146:2x 73

370:2x 5x 37

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 2x 37 = 592

Therefore, the value for common factors is 592.

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 = 12358801047040/(2x592)

LCM = 12358801047040/1184

LCM = 10438176560

Thus, we can understand that the LCM of 412,592,938,146,370 is 10438176560.

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

• LCM of 582, 291, 779, 799, 952
• LCM of 375, 571, 854, 339, 234
• LCM of 517, 897, 672, 986, 641
• LCM of 876, 264, 532, 918, 984
• LCM of 938, 650, 290, 317, 446

1. What is the LCM of 412, 592, 938, 146, 370?

Answer: LCM of 412, 592, 938, 146, 370 is 10438176560.

2. How to calculate the LCM of 412, 592, 938, 146, 370?

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 412, 592, 938, 146, 370.

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}.