Given numbers are 714,874,771,975,420

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

The LCM of 714,874,771,975,420 is 52122606900.

Find LCM of 714,874,771,975,420 with Prime Factorization

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

2 x 3 x 5 x 7 x 17 x 437 x 257 x 65 x 2 = 52122606900

Therefore, the lowest common multiple of 714,874,771,975,420 is 52122606900.

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 874 x 771 x 975 x 420 = 197023454082000

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

771 : 1, 3, 257, 771

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,874,771,975,420, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

874:2x 19x 23

771:3x 257

975:3x 5x 5x 13

420:2x 2x 3x 5x 7

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 5x 7 = 3780

Therefore, the value for common factors is 3780.

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 = 197023454082000/(1x3780)

LCM = 197023454082000/3780

LCM = 52122606900

Thus, we can understand that the LCM of 714,874,771,975,420 is 52122606900.

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

• LCM of 886, 553, 877, 739, 701
• LCM of 556, 590, 333, 615, 257
• LCM of 248, 903, 339, 274, 946
• LCM of 503, 896, 632, 184, 272
• LCM of 692, 264, 847, 163, 336

1. What is the LCM of 714, 874, 771, 975, 420?

Answer: LCM of 714, 874, 771, 975, 420 is 52122606900.

2. How to calculate the LCM of 714, 874, 771, 975, 420?

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, 874, 771, 975, 420.

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}.