Given numbers are 975,526,486,628,434

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

The LCM of 975,526,486,628,434 is 2830510437300.

Find LCM of 975,526,486,628,434 with Prime Factorization

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

2 x 3 x 325 x 263 x 81 x 314 x 217 = 2830510437300

Therefore, the lowest common multiple of 975,526,486,628,434 is 2830510437300.

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 526 x 486 x 628 x 434 = 67932250495200

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

526 : 1, 2, 263, 526

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

628 : 1, 2, 4, 157, 314, 628

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,526,486,628,434, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

526:2x 263

486:2x 3x 3x 3x 3x 3

628:2x 2x 157

434:2x 7x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 67932250495200/(1x24)

LCM = 67932250495200/24

LCM = 2830510437300

Thus, we can understand that the LCM of 975,526,486,628,434 is 2830510437300.

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

• LCM of 402, 318, 697, 945, 375
• LCM of 803, 676, 476, 748, 991
• LCM of 822, 698, 398, 138, 362
• LCM of 851, 669, 921, 434, 945
• LCM of 290, 467, 602, 673, 909

1. What is the LCM of 975, 526, 486, 628, 434?

Answer: LCM of 975, 526, 486, 628, 434 is 2830510437300.

2. How to calculate the LCM of 975, 526, 486, 628, 434?

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, 526, 486, 628, 434.

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}.