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LCM of 688, 830, 932, 835, 780

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


Find the LCM of 688, 830, 932, 835, 780 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 688, 830, 932, 835, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,830,932,835,780

Given numbers are 688,830,932,835,780

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

The LCM of 688,830,932,835,780 is 433284880080.

Find LCM of 688,830,932,835,780 with Prime Factorization


2 688, 830, 932, 835, 780
2 344, 415, 466, 835, 390
5 172, 415, 233, 835, 195
172, 83, 233, 167, 39

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

2 x 2 x 5 x 172 x 83 x 233 x 167 x 39 = 433284880080

Therefore, the lowest common multiple of 688,830,932,835,780 is 433284880080.

LCM Formula to Find Lowest Common Multiple of 688,830,932,835,780

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.

688 x 830 x 932 x 835 x 780 = 346627904064000

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.

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

830 : 1, 2, 5, 10, 83, 166, 415, 830

932 : 1, 2, 4, 233, 466, 932

835 : 1, 5, 167, 835

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,830,932,835,780, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

830:2x 5x 83

932:2x 2x 233

835:5x 167

780:2x 2x 3x 5x 13

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 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 346627904064000/(1x800)

LCM = 346627904064000/800

LCM = 433284880080

Thus, we can understand that the LCM of 688,830,932,835,780 is 433284880080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 830, 932, 835, 780

1. What is the LCM of 688, 830, 932, 835, 780?

Answer: LCM of 688, 830, 932, 835, 780 is 433284880080.

2. How to calculate the LCM of 688, 830, 932, 835, 780?

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 688, 830, 932, 835, 780.

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}.