Given numbers are 313,838,121,143,677

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

The LCM of 313,838,121,143,677 is 279322388774.

Find LCM of 313,838,121,143,677 with Prime Factorization

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

11 x 313 x 838 x 11 x 13 x 677 = 279322388774

Therefore, the lowest common multiple of 313,838,121,143,677 is 279322388774.

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.

313 x 838 x 121 x 143 x 677 = 3072546276514

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.

313 : 1, 313

838 : 1, 2, 419, 838

121 : 1, 11, 121

143 : 1, 11, 13, 143

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,838,121,143,677, is 1.

Now, the common factors can be found like this.

313:313

838:2x 419

121:11x 11

143:11x 13

677:677

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

11 = 11

Therefore, the value for common factors is 11.

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 = 3072546276514/(1x11)

LCM = 3072546276514/11

LCM = 279322388774

Thus, we can understand that the LCM of 313,838,121,143,677 is 279322388774.

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

• LCM of 727, 555, 653, 257, 479
• LCM of 800, 441, 974, 428, 102
• LCM of 325, 880, 130, 224, 348
• LCM of 992, 150, 676, 388, 647
• LCM of 147, 188, 899, 419, 433

1. What is the LCM of 313, 838, 121, 143, 677?

Answer: LCM of 313, 838, 121, 143, 677 is 279322388774.

2. How to calculate the LCM of 313, 838, 121, 143, 677?

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 313, 838, 121, 143, 677.

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}.