Given numbers are 682,305,128,524,636

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

The LCM of 682,305,128,524,636 is 277288978560.

Find LCM of 682,305,128,524,636 with Prime Factorization

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

2 x 2 x 341 x 305 x 32 x 131 x 159 = 277288978560

Therefore, the lowest common multiple of 682,305,128,524,636 is 277288978560.

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.

682 x 305 x 128 x 524 x 636 = 8873247313920

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

305 : 1, 5, 61, 305

128 : 1, 2, 4, 8, 16, 32, 64, 128

524 : 1, 2, 4, 131, 262, 524

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,305,128,524,636, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

305:5x 61

128:2x 2x 2x 2x 2x 2x 2

524:2x 2x 131

636:2x 2x 3x 53

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 2 = 32

Therefore, the value for common factors is 32.

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 = 8873247313920/(1x32)

LCM = 8873247313920/32

LCM = 277288978560

Thus, we can understand that the LCM of 682,305,128,524,636 is 277288978560.

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

• LCM of 335, 980, 994, 347, 728
• LCM of 192, 170, 402, 399, 960
• LCM of 926, 999, 826, 620, 923
• LCM of 557, 424, 614, 148, 771
• LCM of 187, 185, 200, 331, 679

1. What is the LCM of 682, 305, 128, 524, 636?

Answer: LCM of 682, 305, 128, 524, 636 is 277288978560.

2. How to calculate the LCM of 682, 305, 128, 524, 636?

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 682, 305, 128, 524, 636.

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}.