Given numbers are 706,455,460,354

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

The LCM of 706,455,460,354 is 2615454660.

Find LCM of 706,455,460,354 with Prime Factorization

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

2 x 5 x 353 x 91 x 46 x 177 = 2615454660

Therefore, the lowest common multiple of 706,455,460,354 is 2615454660.

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 455 x 460 x 354 = 52309093200

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

455 : 1, 5, 7, 13, 35, 65, 91, 455

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,455,460,354, is 1.

Now, the common factors can be found like this.

706:2x 353

455:5x 7x 13

460:2x 2x 5x 23

354:2x 3x 59

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 5 = 20

Therefore, the value for common factors is 20.

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 = 52309093200/(1x20)

LCM = 52309093200/20

LCM = 2615454660

Thus, we can understand that the LCM of 706,455,460,354 is 2615454660.

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

• LCM of 921, 710, 322, 488
• LCM of 173, 338, 732, 141
• LCM of 145, 618, 224, 844
• LCM of 903, 804, 135, 152
• LCM of 799, 394, 914, 206

1. What is the LCM of 706, 455, 460, 354?

Answer: LCM of 706, 455, 460, 354 is 2615454660.

2. How to calculate the LCM of 706, 455, 460, 354?

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, 455, 460, 354.

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}.