Given numbers are 756,821,462,375,438

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

The LCM of 756,821,462,375,438 is 62300353500.

Find LCM of 756,821,462,375,438 with Prime Factorization

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

2 x 3 x 7 x 18 x 821 x 11 x 125 x 73 = 62300353500

Therefore, the lowest common multiple of 756,821,462,375,438 is 62300353500.

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.

756 x 821 x 462 x 375 x 438 = 47099067246000

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

821 : 1, 821

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

375 : 1, 3, 5, 15, 25, 75, 125, 375

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,821,462,375,438, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

821:821

462:2x 3x 7x 11

375:3x 5x 5x 5

438:2x 3x 73

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 7 = 756

Therefore, the value for common factors is 756.

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 = 47099067246000/(1x756)

LCM = 47099067246000/756

LCM = 62300353500

Thus, we can understand that the LCM of 756,821,462,375,438 is 62300353500.

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

• LCM of 862, 905, 708, 477, 216
• LCM of 948, 138, 763, 449, 222
• LCM of 612, 928, 250, 762, 540
• LCM of 582, 677, 382, 378, 373
• LCM of 512, 976, 903, 100, 700

1. What is the LCM of 756, 821, 462, 375, 438?

Answer: LCM of 756, 821, 462, 375, 438 is 62300353500.

2. How to calculate the LCM of 756, 821, 462, 375, 438?

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 756, 821, 462, 375, 438.

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}.