Given numbers are 705,785,241

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

The LCM of 705,785,241 is 26675085.

Find LCM of 705,785,241 with Prime Factorization

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

5 x 141 x 157 x 241 = 26675085

Therefore, the lowest common multiple of 705,785,241 is 26675085.

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.

705 x 785 x 241 = 133375425

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

785 : 1, 5, 157, 785

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,785,241, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

785:5x 157

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.

5 = 5

Therefore, the value for common factors is 5.

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 = 133375425/(1x5)

LCM = 133375425/5

LCM = 26675085

Thus, we can understand that the LCM of 705,785,241 is 26675085.

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

• LCM of 384, 861, 648
• LCM of 637, 687, 864
• LCM of 567, 859, 520
• LCM of 145, 213, 969
• LCM of 481, 716, 306

1. What is the LCM of 705, 785, 241?

Answer: LCM of 705, 785, 241 is 26675085.

2. How to calculate the LCM of 705, 785, 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 705, 785, 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}.