Given numbers are 714,349,398,600,143

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

The LCM of 714,349,398,600,143 is 709108600200.

Find LCM of 714,349,398,600,143 with Prime Factorization

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

2 x 3 x 119 x 349 x 199 x 100 x 143 = 709108600200

Therefore, the lowest common multiple of 714,349,398,600,143 is 709108600200.

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.

714 x 349 x 398 x 600 x 143 = 8509303202400

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.

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

349 : 1, 349

398 : 1, 2, 199, 398

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,349,398,600,143, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

349:349

398:2x 199

600:2x 2x 2x 3x 5x 5

143:11x 13

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 = 8509303202400/(1x12)

LCM = 8509303202400/12

LCM = 709108600200

Thus, we can understand that the LCM of 714,349,398,600,143 is 709108600200.

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

• LCM of 500, 923, 110, 763, 834
• LCM of 264, 847, 763, 110, 324
• LCM of 269, 347, 607, 644, 296
• LCM of 682, 325, 310, 535, 456
• LCM of 480, 138, 616, 735, 413

1. What is the LCM of 714, 349, 398, 600, 143?

Answer: LCM of 714, 349, 398, 600, 143 is 709108600200.

2. How to calculate the LCM of 714, 349, 398, 600, 143?

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 714, 349, 398, 600, 143.

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}.