Given numbers are 748,590,674

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

The LCM of 748,590,674 is 74362420.

Find LCM of 748,590,674 with Prime Factorization

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

2 x 374 x 295 x 337 = 74362420

Therefore, the lowest common multiple of 748,590,674 is 74362420.

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.

748 x 590 x 674 = 297449680

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.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

590 : 1, 2, 5, 10, 59, 118, 295, 590

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,590,674, is 2.

Now, the common factors can be found like this.

748:2x 2x 11x 17

590:2x 5x 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 = 297449680/(2x2)

LCM = 297449680/4

LCM = 74362420

Thus, we can understand that the LCM of 748,590,674 is 74362420.

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

• LCM of 775, 858, 525
• LCM of 468, 787, 435
• LCM of 226, 837, 897
• LCM of 599, 885, 526
• LCM of 654, 315, 396

1. What is the LCM of 748, 590, 674?

Answer: LCM of 748, 590, 674 is 74362420.

2. How to calculate the LCM of 748, 590, 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 748, 590, 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}.