Given numbers are 238,214,473,142

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

The LCM of 238,214,473,142 is 855224678.

Find LCM of 238,214,473,142 with Prime Factorization

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

2 x 119 x 107 x 473 x 71 = 855224678

Therefore, the lowest common multiple of 238,214,473,142 is 855224678.

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 214 x 473 x 142 = 3420898712

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

214 : 1, 2, 107, 214

473 : 1, 11, 43, 473

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,214,473,142, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

214:2x 107

473:11x 43

142:2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 3420898712/(1x4)

LCM = 3420898712/4

LCM = 855224678

Thus, we can understand that the LCM of 238,214,473,142 is 855224678.

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

• LCM of 960, 580, 690, 855
• LCM of 478, 481, 335, 697
• LCM of 292, 175, 305, 347
• LCM of 847, 355, 608, 119
• LCM of 928, 697, 315, 831

1. What is the LCM of 238, 214, 473, 142?

Answer: LCM of 238, 214, 473, 142 is 855224678.

2. How to calculate the LCM of 238, 214, 473, 142?

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, 214, 473, 142.

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}.