Given numbers are 975,378,939,723,401

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

The LCM of 975,378,939,723,401 is 3716044564050.

Find LCM of 975,378,939,723,401 with Prime Factorization

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

3 x 325 x 126 x 313 x 241 x 401 = 3716044564050

Therefore, the lowest common multiple of 975,378,939,723,401 is 3716044564050.

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.

975 x 378 x 939 x 723 x 401 = 100333203229350

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.

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

939 : 1, 3, 313, 939

723 : 1, 3, 241, 723

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,378,939,723,401, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

378:2x 3x 3x 3x 7

939:3x 313

723:3x 241

401:401

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 100333203229350/(1x27)

LCM = 100333203229350/27

LCM = 3716044564050

Thus, we can understand that the LCM of 975,378,939,723,401 is 3716044564050.

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

• LCM of 827, 860, 912, 253, 240
• LCM of 771, 142, 470, 661, 432
• LCM of 969, 836, 359, 418, 457
• LCM of 234, 963, 697, 859, 573
• LCM of 105, 681, 746, 428, 256

1. What is the LCM of 975, 378, 939, 723, 401?

Answer: LCM of 975, 378, 939, 723, 401 is 3716044564050.

2. How to calculate the LCM of 975, 378, 939, 723, 401?

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 975, 378, 939, 723, 401.

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}.