Given numbers are 238,374,298,860,126

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

The LCM of 238,374,298,860,126 is 1509617340.

Find LCM of 238,374,298,860,126 with Prime Factorization

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

2 x 7 x 17 x 1 x 11 x 149 x 430 x 9 = 1509617340

Therefore, the lowest common multiple of 238,374,298,860,126 is 1509617340.

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.

238 x 374 x 298 x 860 x 126 = 2874311415360

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

374 : 1, 2, 11, 17, 22, 34, 187, 374

298 : 1, 2, 149, 298

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,374,298,860,126, is 2.

Now, the common factors can be found like this.

238:2x 7x 17

374:2x 11x 17

298:2x 149

860:2x 2x 5x 43

126:2x 3x 3x 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 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 2874311415360/(2x952)

LCM = 2874311415360/1904

LCM = 1509617340

Thus, we can understand that the LCM of 238,374,298,860,126 is 1509617340.

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

• LCM of 458, 342, 328, 999, 882
• LCM of 181, 631, 118, 601, 771
• LCM of 195, 265, 453, 758, 338
• LCM of 216, 573, 628, 208, 260
• LCM of 435, 858, 171, 613, 654

1. What is the LCM of 238, 374, 298, 860, 126?

Answer: LCM of 238, 374, 298, 860, 126 is 1509617340.

2. How to calculate the LCM of 238, 374, 298, 860, 126?

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 238, 374, 298, 860, 126.

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}.