Given numbers are 238,306,676,118,742

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

The LCM of 238,306,676,118,742 is 2263935492.

Find LCM of 238,306,676,118,742 with Prime Factorization

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

2 x 7 x 17 x 1 x 9 x 338 x 59 x 53 = 2263935492

Therefore, the lowest common multiple of 238,306,676,118,742 is 2263935492.

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.

238 x 306 x 676 x 118 x 742 = 4310533176768

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

118 : 1, 2, 59, 118

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,306,676,118,742, is 2.

Now, the common factors can be found like this.

238:2x 7x 17

306:2x 3x 3x 17

676:2x 2x 13x 13

118:2x 59

742:2x 7x 53

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 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 4310533176768/(2x952)

LCM = 4310533176768/1904

LCM = 2263935492

Thus, we can understand that the LCM of 238,306,676,118,742 is 2263935492.

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

• LCM of 750, 155, 415, 391, 851
• LCM of 573, 139, 106, 759, 375
• LCM of 923, 821, 847, 587, 339
• LCM of 954, 527, 710, 774, 678
• LCM of 411, 901, 820, 431, 711

1. What is the LCM of 238, 306, 676, 118, 742?

Answer: LCM of 238, 306, 676, 118, 742 is 2263935492.

2. How to calculate the LCM of 238, 306, 676, 118, 742?

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 238, 306, 676, 118, 742.

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}.