Given numbers are 750,136,141,208

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

The LCM of 750,136,141,208 is 62322000.

Find LCM of 750,136,141,208 with Prime Factorization

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

2 x 2 x 2 x 3 x 125 x 17 x 47 x 26 = 62322000

Therefore, the lowest common multiple of 750,136,141,208 is 62322000.

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.

750 x 136 x 141 x 208 = 2991456000

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.

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

141 : 1, 3, 47, 141

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,136,141,208, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

136:2x 2x 2x 17

141:3x 47

208:2x 2x 2x 2x 13

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 3 = 48

Therefore, the value for common factors is 48.

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 = 2991456000/(1x48)

LCM = 2991456000/48

LCM = 62322000

Thus, we can understand that the LCM of 750,136,141,208 is 62322000.

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

• LCM of 445, 438, 943, 660
• LCM of 183, 426, 851, 706
• LCM of 745, 904, 891, 620
• LCM of 240, 536, 799, 664
• LCM of 900, 225, 563, 349

1. What is the LCM of 750, 136, 141, 208?

Answer: LCM of 750, 136, 141, 208 is 62322000.

2. How to calculate the LCM of 750, 136, 141, 208?

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 750, 136, 141, 208.

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}.