Given numbers are 608,672,651,975,241

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

The LCM of 608,672,651,975,241 is 31001661600.

Find LCM of 608,672,651,975,241 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 7 x 19 x 1 x 31 x 325 x 241 = 31001661600

Therefore, the lowest common multiple of 608,672,651,975,241 is 31001661600.

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.

608 x 672 x 651 x 975 x 241 = 62499349785600

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

651 : 1, 3, 7, 21, 31, 93, 217, 651

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,672,651,975,241, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

672:2x 2x 2x 2x 2x 3x 7

651:3x 7x 31

975:3x 5x 5x 13

241:241

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 2x 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 62499349785600/(1x2016)

LCM = 62499349785600/2016

LCM = 31001661600

Thus, we can understand that the LCM of 608,672,651,975,241 is 31001661600.

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

• LCM of 366, 589, 980, 459, 247
• LCM of 618, 961, 362, 658, 585
• LCM of 274, 116, 119, 639, 979
• LCM of 890, 227, 759, 871, 583
• LCM of 423, 898, 736, 588, 831

1. What is the LCM of 608, 672, 651, 975, 241?

Answer: LCM of 608, 672, 651, 975, 241 is 31001661600.

2. How to calculate the LCM of 608, 672, 651, 975, 241?

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 608, 672, 651, 975, 241.

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}.