Given numbers are 703,238,360,286,642

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

The LCM of 703,238,360,286,642 is 460812872520.

Find LCM of 703,238,360,286,642 with Prime Factorization

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

2 x 3 x 703 x 119 x 60 x 143 x 107 = 460812872520

Therefore, the lowest common multiple of 703,238,360,286,642 is 460812872520.

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.

703 x 238 x 360 x 286 x 642 = 11059508940480

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.

703 : 1, 19, 37, 703

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,238,360,286,642, is 1.

Now, the common factors can be found like this.

703:19x 37

238:2x 7x 17

360:2x 2x 2x 3x 3x 5

286:2x 11x 13

642:2x 3x 107

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 = 11059508940480/(1x24)

LCM = 11059508940480/24

LCM = 460812872520

Thus, we can understand that the LCM of 703,238,360,286,642 is 460812872520.

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

• LCM of 787, 719, 897, 771, 138
• LCM of 320, 750, 348, 932, 507
• LCM of 305, 689, 173, 843, 640
• LCM of 808, 899, 982, 971, 397
• LCM of 945, 268, 142, 400, 155

1. What is the LCM of 703, 238, 360, 286, 642?

Answer: LCM of 703, 238, 360, 286, 642 is 460812872520.

2. How to calculate the LCM of 703, 238, 360, 286, 642?

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 703, 238, 360, 286, 642.

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}.