Given numbers are 197,316,868,468,312

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

The LCM of 197,316,868,468,312 is 3161032056.

Find LCM of 197,316,868,468,312 with Prime Factorization

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

2 x 2 x 3 x 13 x 197 x 79 x 217 x 3 x 2 = 3161032056

Therefore, the lowest common multiple of 197,316,868,468,312 is 3161032056.

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.

197 x 316 x 868 x 468 x 312 = 7889936011776

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.

197 : 1, 197

316 : 1, 2, 4, 79, 158, 316

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,316,868,468,312, is 1.

Now, the common factors can be found like this.

197:197

316:2x 2x 79

868:2x 2x 7x 31

468:2x 2x 3x 3x 13

312:2x 2x 2x 3x 13

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 2x 2x 2x 3x 13 = 2496

Therefore, the value for common factors is 2496.

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 = 7889936011776/(1x2496)

LCM = 7889936011776/2496

LCM = 3161032056

Thus, we can understand that the LCM of 197,316,868,468,312 is 3161032056.

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

• LCM of 247, 269, 742, 673, 649
• LCM of 185, 951, 121, 636, 944
• LCM of 424, 315, 281, 434, 825
• LCM of 107, 986, 183, 629, 239
• LCM of 394, 926, 427, 233, 345

1. What is the LCM of 197, 316, 868, 468, 312?

Answer: LCM of 197, 316, 868, 468, 312 is 3161032056.

2. How to calculate the LCM of 197, 316, 868, 468, 312?

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 197, 316, 868, 468, 312.

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}.