Given numbers are 752,354,674

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

The LCM of 752,354,674 is 44856048.

Find LCM of 752,354,674 with Prime Factorization

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

2 x 376 x 177 x 337 = 44856048

Therefore, the lowest common multiple of 752,354,674 is 44856048.

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.

752 x 354 x 674 = 179424192

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

354 : 1, 2, 3, 6, 59, 118, 177, 354

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,354,674, is 2.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

354:2x 3x 59

674:2x 337

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

2 = 2

Therefore, the value for common factors is 2.

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 = 179424192/(2x2)

LCM = 179424192/4

LCM = 44856048

Thus, we can understand that the LCM of 752,354,674 is 44856048.

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

• LCM of 482, 348, 931
• LCM of 271, 292, 967
• LCM of 465, 148, 678
• LCM of 478, 710, 718
• LCM of 934, 848, 315

1. What is the LCM of 752, 354, 674?

Answer: LCM of 752, 354, 674 is 44856048.

2. How to calculate the LCM of 752, 354, 674?

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 752, 354, 674.

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}.