Given numbers are 977,972,726,764,936

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

The LCM of 977,972,726,764,936 is 570627784584.

Find LCM of 977,972,726,764,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 977 x 27 x 121 x 191 x 26 = 570627784584

Therefore, the lowest common multiple of 977,972,726,764,936 is 570627784584.

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.

977 x 972 x 726 x 764 x 936 = 493022405880576

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.

977 : 1, 977

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

764 : 1, 2, 4, 191, 382, 764

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,972,726,764,936, is 1.

Now, the common factors can be found like this.

977:977

972:2x 2x 3x 3x 3x 3x 3

726:2x 3x 11x 11

764:2x 2x 191

936:2x 2x 2x 3x 3x 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 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 493022405880576/(1x864)

LCM = 493022405880576/864

LCM = 570627784584

Thus, we can understand that the LCM of 977,972,726,764,936 is 570627784584.

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

• LCM of 275, 503, 233, 563, 710
• LCM of 631, 864, 886, 293, 340
• LCM of 300, 847, 714, 629, 732
• LCM of 100, 290, 950, 147, 238
• LCM of 828, 498, 871, 316, 951

1. What is the LCM of 977, 972, 726, 764, 936?

Answer: LCM of 977, 972, 726, 764, 936 is 570627784584.

2. How to calculate the LCM of 977, 972, 726, 764, 936?

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 977, 972, 726, 764, 936.

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}.