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LCM of 823, 370, 124, 680, 403

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


Find the LCM of 823, 370, 124, 680, 403 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 823, 370, 124, 680, 403. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 823,370,124,680,403

Given numbers are 823,370,124,680,403

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

The LCM of 823,370,124,680,403 is 8344792040.

Find LCM of 823,370,124,680,403 with Prime Factorization


2 823, 370, 124, 680, 403
2 823, 185, 62, 340, 403
5 823, 185, 31, 170, 403
31 823, 37, 31, 34, 403
823, 37, 1, 34, 13

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

2 x 2 x 5 x 31 x 823 x 37 x 1 x 34 x 13 = 8344792040

Therefore, the lowest common multiple of 823,370,124,680,403 is 8344792040.

LCM Formula to Find Lowest Common Multiple of 823,370,124,680,403

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.

823 x 370 x 124 x 680 x 403 = 10347542129600

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.

823 : 1, 823

370 : 1, 2, 5, 10, 37, 74, 185, 370

124 : 1, 2, 4, 31, 62, 124

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,370,124,680,403, is 1.

Now, the common factors can be found like this.

823:823

370:2x 5x 37

124:2x 2x 31

680:2x 2x 2x 5x 17

403:13x 31

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 5x 31 = 1240

Therefore, the value for common factors is 1240.

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 = 10347542129600/(1x1240)

LCM = 10347542129600/1240

LCM = 8344792040

Thus, we can understand that the LCM of 823,370,124,680,403 is 8344792040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 823, 370, 124, 680, 403

1. What is the LCM of 823, 370, 124, 680, 403?

Answer: LCM of 823, 370, 124, 680, 403 is 8344792040.

2. How to calculate the LCM of 823, 370, 124, 680, 403?

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 823, 370, 124, 680, 403.

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}.