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LCM of 236, 705, 633, 374

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 236, 705, 633, 374 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 236, 705, 633, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,705,633,374

Given numbers are 236,705,633,374

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

The LCM of 236,705,633,374 is 6564855660.

Find LCM of 236,705,633,374 with Prime Factorization


2 236, 705, 633, 374
3 118, 705, 633, 187
118, 235, 211, 187

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

2 x 3 x 118 x 235 x 211 x 187 = 6564855660

Therefore, the lowest common multiple of 236,705,633,374 is 6564855660.

LCM Formula to Find Lowest Common Multiple of 236,705,633,374

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.

236 x 705 x 633 x 374 = 39389133960

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.

236 : 1, 2, 4, 59, 118, 236

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

633 : 1, 3, 211, 633

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,705,633,374, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

705:3x 5x 47

633:3x 211

374:2x 11x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 39389133960/(1x6)

LCM = 39389133960/6

LCM = 6564855660

Thus, we can understand that the LCM of 236,705,633,374 is 6564855660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 705, 633, 374

1. What is the LCM of 236, 705, 633, 374?

Answer: LCM of 236, 705, 633, 374 is 6564855660.

2. How to calculate the LCM of 236, 705, 633, 374?

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 236, 705, 633, 374.

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}.