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LCM of 702, 199, 736, 228, 276

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


Find the LCM of 702, 199, 736, 228, 276 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 702, 199, 736, 228, 276. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 702,199,736,228,276

Given numbers are 702,199,736,228,276

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

The LCM of 702,199,736,228,276 is 976768416.

Find LCM of 702,199,736,228,276 with Prime Factorization


2 702, 199, 736, 228, 276
2 351, 199, 368, 114, 138
3 351, 199, 184, 57, 69
23 117, 199, 184, 19, 23
117, 199, 8, 19, 1

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

2 x 2 x 3 x 23 x 117 x 199 x 8 x 19 x 1 = 976768416

Therefore, the lowest common multiple of 702,199,736,228,276 is 976768416.

LCM Formula to Find Lowest Common Multiple of 702,199,736,228,276

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.

702 x 199 x 736 x 228 x 276 = 6470113987584

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

199 : 1, 199

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,199,736,228,276, is 1.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

199:199

736:2x 2x 2x 2x 2x 23

228:2x 2x 3x 19

276:2x 2x 3x 23

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 3x 3x 23 = 6624

Therefore, the value for common factors is 6624.

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 = 6470113987584/(1x6624)

LCM = 6470113987584/6624

LCM = 976768416

Thus, we can understand that the LCM of 702,199,736,228,276 is 976768416.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 702, 199, 736, 228, 276

1. What is the LCM of 702, 199, 736, 228, 276?

Answer: LCM of 702, 199, 736, 228, 276 is 976768416.

2. How to calculate the LCM of 702, 199, 736, 228, 276?

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 702, 199, 736, 228, 276.

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}.