Given numbers are 706,960,560,175,235

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

The LCM of 706,960,560,175,235 is 557457600.

Find LCM of 706,960,560,175,235 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 7 x 353 x 12 x 1 x 5 x 47 = 557457600

Therefore, the lowest common multiple of 706,960,560,175,235 is 557457600.

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 960 x 560 x 175 x 235 = 15608812800000

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

175 : 1, 5, 7, 25, 35, 175

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,960,560,175,235, is 1.

Now, the common factors can be found like this.

706:2x 353

960:2x 2x 2x 2x 2x 2x 3x 5

560:2x 2x 2x 2x 5x 7

175:5x 5x 7

235:5x 47

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 5x 5x 5x 7 = 28000

Therefore, the value for common factors is 28000.

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 = 15608812800000/(1x28000)

LCM = 15608812800000/28000

LCM = 557457600

Thus, we can understand that the LCM of 706,960,560,175,235 is 557457600.

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

• LCM of 183, 463, 544, 942, 805
• LCM of 875, 336, 590, 314, 217
• LCM of 400, 176, 667, 773, 617
• LCM of 481, 670, 907, 693, 713
• LCM of 193, 439, 849, 234, 499

1. What is the LCM of 706, 960, 560, 175, 235?

Answer: LCM of 706, 960, 560, 175, 235 is 557457600.

2. How to calculate the LCM of 706, 960, 560, 175, 235?

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, 960, 560, 175, 235.

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}.