Given numbers are 553,192,274,515,342

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

The LCM of 553,192,274,515,342 is 427001117760.

Find LCM of 553,192,274,515,342 with Prime Factorization

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

2 x 3 x 553 x 32 x 137 x 515 x 57 = 427001117760

Therefore, the lowest common multiple of 553,192,274,515,342 is 427001117760.

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.

553 x 192 x 274 x 515 x 342 = 5124013413120

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.

553 : 1, 7, 79, 553

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

274 : 1, 2, 137, 274

515 : 1, 5, 103, 515

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,192,274,515,342, is 1.

Now, the common factors can be found like this.

553:7x 79

192:2x 2x 2x 2x 2x 2x 3

274:2x 137

515:5x 103

342:2x 3x 3x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 5124013413120/(1x12)

LCM = 5124013413120/12

LCM = 427001117760

Thus, we can understand that the LCM of 553,192,274,515,342 is 427001117760.

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

• LCM of 127, 589, 315, 941, 591
• LCM of 659, 190, 667, 138, 997
• LCM of 567, 222, 633, 602, 174
• LCM of 599, 836, 966, 141, 658
• LCM of 749, 917, 524, 219, 893

1. What is the LCM of 553, 192, 274, 515, 342?

Answer: LCM of 553, 192, 274, 515, 342 is 427001117760.

2. How to calculate the LCM of 553, 192, 274, 515, 342?

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 553, 192, 274, 515, 342.

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}.