Given numbers are 706,576,652,381,677

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

The LCM of 706,576,652,381,677 is 2849555912256.

Find LCM of 706,576,652,381,677 with Prime Factorization

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

2 x 2 x 3 x 353 x 48 x 163 x 127 x 677 = 2849555912256

Therefore, the lowest common multiple of 706,576,652,381,677 is 2849555912256.

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.

706 x 576 x 652 x 381 x 677 = 68389341894144

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.

706 : 1, 2, 353, 706

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

652 : 1, 2, 4, 163, 326, 652

381 : 1, 3, 127, 381

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,576,652,381,677, is 1.

Now, the common factors can be found like this.

706:2x 353

576:2x 2x 2x 2x 2x 2x 3x 3

652:2x 2x 163

381:3x 127

677:677

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 = 68389341894144/(1x24)

LCM = 68389341894144/24

LCM = 2849555912256

Thus, we can understand that the LCM of 706,576,652,381,677 is 2849555912256.

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

• LCM of 984, 481, 964, 187, 704
• LCM of 612, 331, 236, 696, 508
• LCM of 844, 697, 171, 286, 599
• LCM of 585, 907, 699, 924, 413
• LCM of 942, 760, 943, 355, 950

1. What is the LCM of 706, 576, 652, 381, 677?

Answer: LCM of 706, 576, 652, 381, 677 is 2849555912256.

2. How to calculate the LCM of 706, 576, 652, 381, 677?

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 706, 576, 652, 381, 677.

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}.