Given numbers are 756,909,242,171,258

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

The LCM of 756,909,242,171,258 is 7548325092.

Find LCM of 756,909,242,171,258 with Prime Factorization

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

2 x 3 x 3 x 42 x 101 x 121 x 19 x 43 = 7548325092

Therefore, the lowest common multiple of 756,909,242,171,258 is 7548325092.

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.

756 x 909 x 242 x 171 x 258 = 7336971989424

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

909 : 1, 3, 9, 101, 303, 909

242 : 1, 2, 11, 22, 121, 242

171 : 1, 3, 9, 19, 57, 171

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,909,242,171,258, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

909:3x 3x 101

242:2x 11x 11

171:3x 3x 19

258:2x 3x 43

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 3x 3x 3x 3x 3 = 972

Therefore, the value for common factors is 972.

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 = 7336971989424/(1x972)

LCM = 7336971989424/972

LCM = 7548325092

Thus, we can understand that the LCM of 756,909,242,171,258 is 7548325092.

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

• LCM of 813, 749, 537, 661, 508
• LCM of 620, 955, 667, 615, 665
• LCM of 247, 524, 866, 580, 792
• LCM of 788, 839, 855, 741, 457
• LCM of 148, 392, 290, 581, 512

1. What is the LCM of 756, 909, 242, 171, 258?

Answer: LCM of 756, 909, 242, 171, 258 is 7548325092.

2. How to calculate the LCM of 756, 909, 242, 171, 258?

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 756, 909, 242, 171, 258.

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}.