Given numbers are 390,349,241,514,257

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

The LCM of 390,349,241,514,257 is 8430245070.

Find LCM of 390,349,241,514,257 with Prime Factorization

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

2 x 257 x 195 x 349 x 241 x 1 x 1 = 8430245070

Therefore, the lowest common multiple of 390,349,241,514,257 is 8430245070.

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.

390 x 349 x 241 x 514 x 257 = 4333145965980

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

349 : 1, 349

241 : 1, 241

514 : 1, 2, 257, 514

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,349,241,514,257, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

349:349

241:241

514:2x 257

257:257

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

2x 257 = 514

Therefore, the value for common factors is 514.

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 = 4333145965980/(1x514)

LCM = 4333145965980/514

LCM = 8430245070

Thus, we can understand that the LCM of 390,349,241,514,257 is 8430245070.

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

• LCM of 162, 812, 320, 947, 370
• LCM of 132, 688, 909, 399, 500
• LCM of 388, 223, 659, 959, 946
• LCM of 504, 621, 566, 917, 109
• LCM of 412, 902, 865, 146, 751

1. What is the LCM of 390, 349, 241, 514, 257?

Answer: LCM of 390, 349, 241, 514, 257 is 8430245070.

2. How to calculate the LCM of 390, 349, 241, 514, 257?

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 390, 349, 241, 514, 257.

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}.