Given numbers are 706,160,113,750

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

The LCM of 706,160,113,750 is 478668000.

Find LCM of 706,160,113,750 with Prime Factorization

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

2 x 5 x 353 x 16 x 113 x 75 = 478668000

Therefore, the lowest common multiple of 706,160,113,750 is 478668000.

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 160 x 113 x 750 = 9573360000

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

113 : 1, 113

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,160,113,750, is 1.

Now, the common factors can be found like this.

706:2x 353

160:2x 2x 2x 2x 2x 5

113:113

750:2x 3x 5x 5x 5

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 = 9573360000/(1x20)

LCM = 9573360000/20

LCM = 478668000

Thus, we can understand that the LCM of 706,160,113,750 is 478668000.

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

• LCM of 191, 945, 995, 493
• LCM of 938, 123, 725, 386
• LCM of 569, 836, 901, 173
• LCM of 234, 352, 120, 250
• LCM of 882, 451, 545, 135

1. What is the LCM of 706, 160, 113, 750?

Answer: LCM of 706, 160, 113, 750 is 478668000.

2. How to calculate the LCM of 706, 160, 113, 750?

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, 160, 113, 750.

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}.