Given numbers are 674,514,688,387,326

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

The LCM of 674,514,688,387,326 is 87414117264.

Find LCM of 674,514,688,387,326 with Prime Factorization

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

2 x 43 x 337 x 257 x 8 x 9 x 163 = 87414117264

Therefore, the lowest common multiple of 674,514,688,387,326 is 87414117264.

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.

674 x 514 x 688 x 387 x 326 = 30070456338816

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.

674 : 1, 2, 337, 674

514 : 1, 2, 257, 514

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

387 : 1, 3, 9, 43, 129, 387

326 : 1, 2, 163, 326

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,514,688,387,326, is 1.

Now, the common factors can be found like this.

674:2x 337

514:2x 257

688:2x 2x 2x 2x 43

387:3x 3x 43

326:2x 163

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 43 = 344

Therefore, the value for common factors is 344.

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 = 30070456338816/(1x344)

LCM = 30070456338816/344

LCM = 87414117264

Thus, we can understand that the LCM of 674,514,688,387,326 is 87414117264.

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

• LCM of 502, 231, 613, 953, 898
• LCM of 992, 980, 514, 601, 165
• LCM of 450, 411, 904, 555, 433
• LCM of 113, 956, 736, 986, 173
• LCM of 975, 948, 139, 904, 964

1. What is the LCM of 674, 514, 688, 387, 326?

Answer: LCM of 674, 514, 688, 387, 326 is 87414117264.

2. How to calculate the LCM of 674, 514, 688, 387, 326?

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 674, 514, 688, 387, 326.

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}.