Given numbers are 152,211,407,374

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

The LCM of 152,211,407,374 is 221906168.

Find LCM of 152,211,407,374 with Prime Factorization

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

2 x 11 x 76 x 211 x 37 x 17 = 221906168

Therefore, the lowest common multiple of 152,211,407,374 is 221906168.

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.

152 x 211 x 407 x 374 = 4881935696

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.

152 : 1, 2, 4, 8, 19, 38, 76, 152

211 : 1, 211

407 : 1, 11, 37, 407

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,211,407,374, is 1.

Now, the common factors can be found like this.

152:2x 2x 2x 19

211:211

407:11x 37

374:2x 11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 4881935696/(1x22)

LCM = 4881935696/22

LCM = 221906168

Thus, we can understand that the LCM of 152,211,407,374 is 221906168.

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

• LCM of 196, 535, 658, 957
• LCM of 460, 891, 250, 229
• LCM of 716, 553, 689, 127
• LCM of 688, 181, 270, 673
• LCM of 818, 904, 295, 227

1. What is the LCM of 152, 211, 407, 374?

Answer: LCM of 152, 211, 407, 374 is 221906168.

2. How to calculate the LCM of 152, 211, 407, 374?

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 152, 211, 407, 374.

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}.