Given numbers are 541,153,224,374

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

The LCM of 541,153,224,374 is 203952672.

Find LCM of 541,153,224,374 with Prime Factorization

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

2 x 17 x 541 x 9 x 112 x 11 = 203952672

Therefore, the lowest common multiple of 541,153,224,374 is 203952672.

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.

541 x 153 x 224 x 374 = 6934390848

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.

541 : 1, 541

153 : 1, 3, 9, 17, 51, 153

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 541,153,224,374, is 1.

Now, the common factors can be found like this.

541:541

153:3x 3x 17

224:2x 2x 2x 2x 2x 7

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 17 = 34

Therefore, the value for common factors is 34.

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 = 6934390848/(1x34)

LCM = 6934390848/34

LCM = 203952672

Thus, we can understand that the LCM of 541,153,224,374 is 203952672.

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

• LCM of 229, 286, 499, 579
• LCM of 306, 107, 554, 189
• LCM of 225, 984, 707, 383
• LCM of 477, 107, 872, 230
• LCM of 514, 642, 377, 532

1. What is the LCM of 541, 153, 224, 374?

Answer: LCM of 541, 153, 224, 374 is 203952672.

2. How to calculate the LCM of 541, 153, 224, 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 541, 153, 224, 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}.