Given numbers are 145,138,319,284

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

The LCM of 145,138,319,284 is 31255620.

Find LCM of 145,138,319,284 with Prime Factorization

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

2 x 29 x 5 x 69 x 11 x 142 = 31255620

Therefore, the lowest common multiple of 145,138,319,284 is 31255620.

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.

145 x 138 x 319 x 284 = 1812825960

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.

145 : 1, 5, 29, 145

138 : 1, 2, 3, 6, 23, 46, 69, 138

319 : 1, 11, 29, 319

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,138,319,284, is 1.

Now, the common factors can be found like this.

145:5x 29

138:2x 3x 23

319:11x 29

284:2x 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 29 = 58

Therefore, the value for common factors is 58.

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 = 1812825960/(1x58)

LCM = 1812825960/58

LCM = 31255620

Thus, we can understand that the LCM of 145,138,319,284 is 31255620.

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

• LCM of 871, 304, 810, 668
• LCM of 370, 698, 145, 802
• LCM of 844, 101, 926, 347
• LCM of 608, 318, 823, 213
• LCM of 599, 828, 363, 762

1. What is the LCM of 145, 138, 319, 284?

Answer: LCM of 145, 138, 319, 284 is 31255620.

2. How to calculate the LCM of 145, 138, 319, 284?

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 145, 138, 319, 284.

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}.