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LCM of 307, 208, 473, 774, 802

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


Find the LCM of 307, 208, 473, 774, 802 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 307, 208, 473, 774, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 307,208,473,774,802

Given numbers are 307,208,473,774,802

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

The LCM of 307,208,473,774,802 is 109005831792.

Find LCM of 307,208,473,774,802 with Prime Factorization


2 307, 208, 473, 774, 802
43 307, 104, 473, 387, 401
307, 104, 11, 9, 401

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

2 x 43 x 307 x 104 x 11 x 9 x 401 = 109005831792

Therefore, the lowest common multiple of 307,208,473,774,802 is 109005831792.

LCM Formula to Find Lowest Common Multiple of 307,208,473,774,802

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.

307 x 208 x 473 x 774 x 802 = 18749003068224

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.

307 : 1, 307

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

473 : 1, 11, 43, 473

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,208,473,774,802, is 1.

Now, the common factors can be found like this.

307:307

208:2x 2x 2x 2x 13

473:11x 43

774:2x 3x 3x 43

802:2x 401

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 43 = 172

Therefore, the value for common factors is 172.

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 = 18749003068224/(1x172)

LCM = 18749003068224/172

LCM = 109005831792

Thus, we can understand that the LCM of 307,208,473,774,802 is 109005831792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 307, 208, 473, 774, 802

1. What is the LCM of 307, 208, 473, 774, 802?

Answer: LCM of 307, 208, 473, 774, 802 is 109005831792.

2. How to calculate the LCM of 307, 208, 473, 774, 802?

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 307, 208, 473, 774, 802.

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}.