Given numbers are 428,354,409,295

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

The LCM of 428,354,409,295 is 154921020.

Find LCM of 428,354,409,295 with Prime Factorization

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

2 x 59 x 214 x 3 x 409 x 5 = 154921020

Therefore, the lowest common multiple of 428,354,409,295 is 154921020.

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.

428 x 354 x 409 x 295 = 18280680360

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.

428 : 1, 2, 4, 107, 214, 428

354 : 1, 2, 3, 6, 59, 118, 177, 354

409 : 1, 409

295 : 1, 5, 59, 295

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,354,409,295, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

354:2x 3x 59

409:409

295:5x 59

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 18280680360/(1x118)

LCM = 18280680360/118

LCM = 154921020

Thus, we can understand that the LCM of 428,354,409,295 is 154921020.

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

• LCM of 724, 123, 600, 892
• LCM of 728, 272, 767, 592
• LCM of 297, 783, 416, 343
• LCM of 363, 163, 722, 222
• LCM of 123, 316, 902, 986

1. What is the LCM of 428, 354, 409, 295?

Answer: LCM of 428, 354, 409, 295 is 154921020.

2. How to calculate the LCM of 428, 354, 409, 295?

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 428, 354, 409, 295.

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}.