Given numbers are 350,852,821,402,714

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

The LCM of 350,852,821,402,714 is 139426242900.

Find LCM of 350,852,821,402,714 with Prime Factorization

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

2 x 3 x 7 x 25 x 142 x 821 x 67 x 17 = 139426242900

Therefore, the lowest common multiple of 350,852,821,402,714 is 139426242900.

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.

350 x 852 x 821 x 402 x 714 = 70270826421600

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

821 : 1, 821

402 : 1, 2, 3, 6, 67, 134, 201, 402

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 350,852,821,402,714, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

852:2x 2x 3x 71

821:821

402:2x 3x 67

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 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 70270826421600/(1x504)

LCM = 70270826421600/504

LCM = 139426242900

Thus, we can understand that the LCM of 350,852,821,402,714 is 139426242900.

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

• LCM of 960, 795, 516, 438, 294
• LCM of 883, 620, 492, 870, 427
• LCM of 299, 955, 211, 800, 946
• LCM of 393, 327, 495, 957, 280
• LCM of 389, 427, 869, 825, 980

1. What is the LCM of 350, 852, 821, 402, 714?

Answer: LCM of 350, 852, 821, 402, 714 is 139426242900.

2. How to calculate the LCM of 350, 852, 821, 402, 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 350, 852, 821, 402, 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}.