Given numbers are 238,219,470,354

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

The LCM of 238,219,470,354 is 722671530.

Find LCM of 238,219,470,354 with Prime Factorization

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

2 x 3 x 119 x 73 x 235 x 59 = 722671530

Therefore, the lowest common multiple of 238,219,470,354 is 722671530.

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 219 x 470 x 354 = 8672058360

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

219 : 1, 3, 73, 219

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,219,470,354, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

219:3x 73

470:2x 5x 47

354:2x 3x 59

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 3 = 12

Therefore, the value for common factors is 12.

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 = 8672058360/(1x12)

LCM = 8672058360/12

LCM = 722671530

Thus, we can understand that the LCM of 238,219,470,354 is 722671530.

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

• LCM of 678, 940, 385, 384
• LCM of 448, 832, 242, 635
• LCM of 934, 135, 568, 719
• LCM of 977, 798, 940, 285
• LCM of 707, 298, 139, 222

1. What is the LCM of 238, 219, 470, 354?

Answer: LCM of 238, 219, 470, 354 is 722671530.

2. How to calculate the LCM of 238, 219, 470, 354?

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, 219, 470, 354.

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}.