Given numbers are 302,519,153,720,714

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

The LCM of 302,519,153,720,714 is 2238218640.

Find LCM of 302,519,153,720,714 with Prime Factorization

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

2 x 3 x 3 x 17 x 151 x 173 x 1 x 40 x 7 = 2238218640

Therefore, the lowest common multiple of 302,519,153,720,714 is 2238218640.

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.

302 x 519 x 153 x 720 x 714 = 12328108269120

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.

302 : 1, 2, 151, 302

519 : 1, 3, 173, 519

153 : 1, 3, 9, 17, 51, 153

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 302,519,153,720,714, is 1.

Now, the common factors can be found like this.

302:2x 151

519:3x 173

153:3x 3x 17

720:2x 2x 2x 2x 3x 3x 5

714:2x 3x 7x 17

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 3x 3x 3x 3x 17 = 5508

Therefore, the value for common factors is 5508.

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 = 12328108269120/(1x5508)

LCM = 12328108269120/5508

LCM = 2238218640

Thus, we can understand that the LCM of 302,519,153,720,714 is 2238218640.

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

• LCM of 647, 604, 150, 760, 143
• LCM of 541, 232, 234, 475, 265
• LCM of 830, 966, 654, 565, 696
• LCM of 702, 953, 977, 255, 611
• LCM of 286, 739, 416, 385, 746

1. What is the LCM of 302, 519, 153, 720, 714?

Answer: LCM of 302, 519, 153, 720, 714 is 2238218640.

2. How to calculate the LCM of 302, 519, 153, 720, 714?

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 302, 519, 153, 720, 714.

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}.