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LCM of 368, 688, 716, 288, 236

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


Find the LCM of 368, 688, 716, 288, 236 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 368, 688, 716, 288, 236. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 368,688,716,288,236

Given numbers are 368,688,716,288,236

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

The LCM of 368,688,716,288,236 is 3008110752.

Find LCM of 368,688,716,288,236 with Prime Factorization


2 368, 688, 716, 288, 236
2 184, 344, 358, 144, 118
2 92, 172, 179, 72, 59
2 46, 86, 179, 36, 59
23, 43, 179, 18, 59

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

2 x 2 x 2 x 2 x 23 x 43 x 179 x 18 x 59 = 3008110752

Therefore, the lowest common multiple of 368,688,716,288,236 is 3008110752.

LCM Formula to Find Lowest Common Multiple of 368,688,716,288,236

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.

368 x 688 x 716 x 288 x 236 = 12321221640192

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

716 : 1, 2, 4, 179, 358, 716

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,688,716,288,236, is 4.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

688:2x 2x 2x 2x 43

716:2x 2x 179

288:2x 2x 2x 2x 2x 3x 3

236:2x 2x 59

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 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 12321221640192/(4x1024)

LCM = 12321221640192/4096

LCM = 3008110752

Thus, we can understand that the LCM of 368,688,716,288,236 is 3008110752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 368, 688, 716, 288, 236

1. What is the LCM of 368, 688, 716, 288, 236?

Answer: LCM of 368, 688, 716, 288, 236 is 3008110752.

2. How to calculate the LCM of 368, 688, 716, 288, 236?

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 368, 688, 716, 288, 236.

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}.