Given numbers are 935,974,338,346,514

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

The LCM of 935,974,338,346,514 is 6842841787210.

Find LCM of 935,974,338,346,514 with Prime Factorization

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

2 x 935 x 487 x 169 x 173 x 257 = 6842841787210

Therefore, the lowest common multiple of 935,974,338,346,514 is 6842841787210.

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.

935 x 974 x 338 x 346 x 514 = 54742734297680

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

974 : 1, 2, 487, 974

338 : 1, 2, 13, 26, 169, 338

346 : 1, 2, 173, 346

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,974,338,346,514, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

974:2x 487

338:2x 13x 13

346:2x 173

514:2x 257

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 2 = 8

Therefore, the value for common factors is 8.

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 = 54742734297680/(1x8)

LCM = 54742734297680/8

LCM = 6842841787210

Thus, we can understand that the LCM of 935,974,338,346,514 is 6842841787210.

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

• LCM of 733, 601, 100, 865, 157
• LCM of 319, 729, 742, 841, 981
• LCM of 528, 681, 212, 529, 706
• LCM of 901, 619, 321, 925, 381
• LCM of 497, 245, 322, 950, 443

1. What is the LCM of 935, 974, 338, 346, 514?

Answer: LCM of 935, 974, 338, 346, 514 is 6842841787210.

2. How to calculate the LCM of 935, 974, 338, 346, 514?

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 935, 974, 338, 346, 514.

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}.