Given numbers are 398,269,706,971

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

The LCM of 398,269,706,971 is 36696892306.

Find LCM of 398,269,706,971 with Prime Factorization

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

2 x 199 x 269 x 353 x 971 = 36696892306

Therefore, the lowest common multiple of 398,269,706,971 is 36696892306.

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.

398 x 269 x 706 x 971 = 73393784612

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.

398 : 1, 2, 199, 398

269 : 1, 269

706 : 1, 2, 353, 706

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,269,706,971, is 1.

Now, the common factors can be found like this.

398:2x 199

269:269

706:2x 353

971:971

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 = 73393784612/(1x2)

LCM = 73393784612/2

LCM = 36696892306

Thus, we can understand that the LCM of 398,269,706,971 is 36696892306.

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

• LCM of 285, 724, 164, 238
• LCM of 514, 216, 326, 190
• LCM of 857, 987, 707, 509
• LCM of 801, 846, 982, 534
• LCM of 413, 353, 923, 759

1. What is the LCM of 398, 269, 706, 971?

Answer: LCM of 398, 269, 706, 971 is 36696892306.

2. How to calculate the LCM of 398, 269, 706, 971?

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 398, 269, 706, 971.

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}.