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LCM of 381, 573, 306, 981, 776

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


Find the LCM of 381, 573, 306, 981, 776 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 381, 573, 306, 981, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,573,306,981,776

Given numbers are 381,573,306,981,776

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

The LCM of 381,573,306,981,776 is 313918375464.

Find LCM of 381,573,306,981,776 with Prime Factorization


2 381, 573, 306, 981, 776
3 381, 573, 153, 981, 388
3 127, 191, 51, 327, 388
127, 191, 17, 109, 388

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

2 x 3 x 3 x 127 x 191 x 17 x 109 x 388 = 313918375464

Therefore, the lowest common multiple of 381,573,306,981,776 is 313918375464.

LCM Formula to Find Lowest Common Multiple of 381,573,306,981,776

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.

381 x 573 x 306 x 981 x 776 = 50854776825168

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.

381 : 1, 3, 127, 381

573 : 1, 3, 191, 573

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

981 : 1, 3, 9, 109, 327, 981

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,573,306,981,776, is 1.

Now, the common factors can be found like this.

381:3x 127

573:3x 191

306:2x 3x 3x 17

981:3x 3x 109

776:2x 2x 2x 97

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 50854776825168/(1x162)

LCM = 50854776825168/162

LCM = 313918375464

Thus, we can understand that the LCM of 381,573,306,981,776 is 313918375464.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 573, 306, 981, 776

1. What is the LCM of 381, 573, 306, 981, 776?

Answer: LCM of 381, 573, 306, 981, 776 is 313918375464.

2. How to calculate the LCM of 381, 573, 306, 981, 776?

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 381, 573, 306, 981, 776.

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}.