Given numbers are 249,261,523,690,164

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

The LCM of 249,261,523,690,164 is 213679066140.

Find LCM of 249,261,523,690,164 with Prime Factorization

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

2 x 3 x 83 x 87 x 523 x 115 x 82 = 213679066140

Therefore, the lowest common multiple of 249,261,523,690,164 is 213679066140.

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.

249 x 261 x 523 x 690 x 164 = 3846223190520

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.

249 : 1, 3, 83, 249

261 : 1, 3, 9, 29, 87, 261

523 : 1, 523

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,261,523,690,164, is 1.

Now, the common factors can be found like this.

249:3x 83

261:3x 3x 29

523:523

690:2x 3x 5x 23

164:2x 2x 41

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 3846223190520/(1x18)

LCM = 3846223190520/18

LCM = 213679066140

Thus, we can understand that the LCM of 249,261,523,690,164 is 213679066140.

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

• LCM of 744, 627, 919, 324, 459
• LCM of 747, 658, 617, 637, 940
• LCM of 581, 358, 578, 814, 992
• LCM of 415, 954, 600, 524, 812
• LCM of 237, 927, 968, 730, 408

1. What is the LCM of 249, 261, 523, 690, 164?

Answer: LCM of 249, 261, 523, 690, 164 is 213679066140.

2. How to calculate the LCM of 249, 261, 523, 690, 164?

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 249, 261, 523, 690, 164.

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}.