Given numbers are 349,546,952,238,734

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

The LCM of 349,546,952,238,734 is 4755465624.

Find LCM of 349,546,952,238,734 with Prime Factorization

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

2 x 7 x 17 x 349 x 39 x 4 x 1 x 367 = 4755465624

Therefore, the lowest common multiple of 349,546,952,238,734 is 4755465624.

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.

349 x 546 x 952 x 238 x 734 = 31690422918336

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.

349 : 1, 349

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

238 : 1, 2, 7, 14, 17, 34, 119, 238

734 : 1, 2, 367, 734

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,546,952,238,734, is 1.

Now, the common factors can be found like this.

349:349

546:2x 3x 7x 13

952:2x 2x 2x 7x 17

238:2x 7x 17

734:2x 367

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 7x 7x 17 = 6664

Therefore, the value for common factors is 6664.

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 = 31690422918336/(1x6664)

LCM = 31690422918336/6664

LCM = 4755465624

Thus, we can understand that the LCM of 349,546,952,238,734 is 4755465624.

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

• LCM of 293, 969, 620, 461, 998
• LCM of 797, 871, 608, 382, 288
• LCM of 726, 572, 548, 714, 188
• LCM of 452, 618, 118, 219, 346
• LCM of 127, 524, 102, 517, 644

1. What is the LCM of 349, 546, 952, 238, 734?

Answer: LCM of 349, 546, 952, 238, 734 is 4755465624.

2. How to calculate the LCM of 349, 546, 952, 238, 734?

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 349, 546, 952, 238, 734.

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}.