Given numbers are 353,770,978,326,424

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

The LCM of 353,770,978,326,424 is 28177999080.

Find LCM of 353,770,978,326,424 with Prime Factorization

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

2 x 163 x 353 x 385 x 3 x 1 x 212 = 28177999080

Therefore, the lowest common multiple of 353,770,978,326,424 is 28177999080.

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.

353 x 770 x 978 x 326 x 424 = 36744110800320

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.

353 : 1, 353

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

978 : 1, 2, 3, 6, 163, 326, 489, 978

326 : 1, 2, 163, 326

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,770,978,326,424, is 1.

Now, the common factors can be found like this.

353:353

770:2x 5x 7x 11

978:2x 3x 163

326:2x 163

424:2x 2x 2x 53

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 163 = 1304

Therefore, the value for common factors is 1304.

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 = 36744110800320/(1x1304)

LCM = 36744110800320/1304

LCM = 28177999080

Thus, we can understand that the LCM of 353,770,978,326,424 is 28177999080.

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

• LCM of 881, 222, 630, 295, 712
• LCM of 856, 869, 978, 545, 608
• LCM of 216, 129, 945, 198, 969
• LCM of 845, 573, 475, 905, 458
• LCM of 366, 378, 974, 404, 320

1. What is the LCM of 353, 770, 978, 326, 424?

Answer: LCM of 353, 770, 978, 326, 424 is 28177999080.

2. How to calculate the LCM of 353, 770, 978, 326, 424?

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 353, 770, 978, 326, 424.

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}.