Given numbers are 706,516,720,242

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

The LCM of 706,516,720,242 is 1322394480.

Find LCM of 706,516,720,242 with Prime Factorization

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

2 x 2 x 3 x 353 x 43 x 60 x 121 = 1322394480

Therefore, the lowest common multiple of 706,516,720,242 is 1322394480.

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 516 x 720 x 242 = 63474935040

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

242 : 1, 2, 11, 22, 121, 242

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,516,720,242, is 2.

Now, the common factors can be found like this.

706:2x 353

516:2x 2x 3x 43

720:2x 2x 2x 2x 3x 3x 5

242:2x 11x 11

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 = 63474935040/(2x24)

LCM = 63474935040/48

LCM = 1322394480

Thus, we can understand that the LCM of 706,516,720,242 is 1322394480.

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

• LCM of 744, 678, 543, 367
• LCM of 494, 275, 137, 235
• LCM of 694, 209, 630, 893
• LCM of 665, 177, 725, 334
• LCM of 944, 386, 871, 343

1. What is the LCM of 706, 516, 720, 242?

Answer: LCM of 706, 516, 720, 242 is 1322394480.

2. How to calculate the LCM of 706, 516, 720, 242?

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, 516, 720, 242.

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}.