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LCM of 835, 193, 353, 652, 542

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


Find the LCM of 835, 193, 353, 652, 542 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 835, 193, 353, 652, 542. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,193,353,652,542

Given numbers are 835,193,353,652,542

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

The LCM of 835,193,353,652,542 is 10051604138780.

Find LCM of 835,193,353,652,542 with Prime Factorization


2 835, 193, 353, 652, 542
835, 193, 353, 326, 271

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

2 x 835 x 193 x 353 x 326 x 271 = 10051604138780

Therefore, the lowest common multiple of 835,193,353,652,542 is 10051604138780.

LCM Formula to Find Lowest Common Multiple of 835,193,353,652,542

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.

835 x 193 x 353 x 652 x 542 = 20103208277560

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.

835 : 1, 5, 167, 835

193 : 1, 193

353 : 1, 353

652 : 1, 2, 4, 163, 326, 652

542 : 1, 2, 271, 542

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,193,353,652,542, is 1.

Now, the common factors can be found like this.

835:5x 167

193:193

353:353

652:2x 2x 163

542:2x 271

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

2 = 2

Therefore, the value for common factors is 2.

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 = 20103208277560/(1x2)

LCM = 20103208277560/2

LCM = 10051604138780

Thus, we can understand that the LCM of 835,193,353,652,542 is 10051604138780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 193, 353, 652, 542

1. What is the LCM of 835, 193, 353, 652, 542?

Answer: LCM of 835, 193, 353, 652, 542 is 10051604138780.

2. How to calculate the LCM of 835, 193, 353, 652, 542?

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 835, 193, 353, 652, 542.

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}.