Given numbers are 738,175,397,164

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

The LCM of 738,175,397,164 is 102545100.

Find LCM of 738,175,397,164 with Prime Factorization

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

2 x 41 x 9 x 175 x 397 x 2 = 102545100

Therefore, the lowest common multiple of 738,175,397,164 is 102545100.

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.

738 x 175 x 397 x 164 = 8408698200

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

175 : 1, 5, 7, 25, 35, 175

397 : 1, 397

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 738,175,397,164, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

175:5x 5x 7

397:397

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 41 = 82

Therefore, the value for common factors is 82.

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 = 8408698200/(1x82)

LCM = 8408698200/82

LCM = 102545100

Thus, we can understand that the LCM of 738,175,397,164 is 102545100.

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

• LCM of 997, 500, 737, 788
• LCM of 816, 185, 637, 397
• LCM of 381, 447, 583, 399
• LCM of 938, 496, 396, 923
• LCM of 949, 692, 960, 232

1. What is the LCM of 738, 175, 397, 164?

Answer: LCM of 738, 175, 397, 164 is 102545100.

2. How to calculate the LCM of 738, 175, 397, 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 738, 175, 397, 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}.