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LCM of 239, 758, 654, 930, 683

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


Find the LCM of 239, 758, 654, 930, 683 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 239, 758, 654, 930, 683. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 239,758,654,930,683

Given numbers are 239,758,654,930,683

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

The LCM of 239,758,654,930,683 is 6271439847510.

Find LCM of 239,758,654,930,683 with Prime Factorization


2 239, 758, 654, 930, 683
3 239, 379, 327, 465, 683
239, 379, 109, 155, 683

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

2 x 3 x 239 x 379 x 109 x 155 x 683 = 6271439847510

Therefore, the lowest common multiple of 239,758,654,930,683 is 6271439847510.

LCM Formula to Find Lowest Common Multiple of 239,758,654,930,683

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.

239 x 758 x 654 x 930 x 683 = 75257278170120

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.

239 : 1, 239

758 : 1, 2, 379, 758

654 : 1, 2, 3, 6, 109, 218, 327, 654

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

683 : 1, 683

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,758,654,930,683, is 1.

Now, the common factors can be found like this.

239:239

758:2x 379

654:2x 3x 109

930:2x 3x 5x 31

683:683

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 3 = 12

Therefore, the value for common factors is 12.

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 = 75257278170120/(1x12)

LCM = 75257278170120/12

LCM = 6271439847510

Thus, we can understand that the LCM of 239,758,654,930,683 is 6271439847510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 239, 758, 654, 930, 683

1. What is the LCM of 239, 758, 654, 930, 683?

Answer: LCM of 239, 758, 654, 930, 683 is 6271439847510.

2. How to calculate the LCM of 239, 758, 654, 930, 683?

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 239, 758, 654, 930, 683.

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}.