Given numbers are 364,157,942,319

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

The LCM of 364,157,942,319 is 54690636.

Find LCM of 364,157,942,319 with Prime Factorization

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

2 x 157 x 182 x 1 x 3 x 319 = 54690636

Therefore, the lowest common multiple of 364,157,942,319 is 54690636.

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.

364 x 157 x 942 x 319 = 17172859704

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

157 : 1, 157

942 : 1, 2, 3, 6, 157, 314, 471, 942

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,157,942,319, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

157:157

942:2x 3x 157

319:11x 29

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

2x 157 = 314

Therefore, the value for common factors is 314.

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 = 17172859704/(1x314)

LCM = 17172859704/314

LCM = 54690636

Thus, we can understand that the LCM of 364,157,942,319 is 54690636.

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

• LCM of 182, 338, 184, 428
• LCM of 380, 499, 564, 585
• LCM of 735, 800, 756, 345
• LCM of 615, 610, 551, 329
• LCM of 863, 494, 847, 114

1. What is the LCM of 364, 157, 942, 319?

Answer: LCM of 364, 157, 942, 319 is 54690636.

2. How to calculate the LCM of 364, 157, 942, 319?

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 364, 157, 942, 319.

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}.