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LCM of 703, 409, 216, 838, 353

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


Find the LCM of 703, 409, 216, 838, 353 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 703, 409, 216, 838, 353. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 703,409,216,838,353

Given numbers are 703,409,216,838,353

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

The LCM of 703,409,216,838,353 is 9185887293624.

Find LCM of 703,409,216,838,353 with Prime Factorization


2 703, 409, 216, 838, 353
703, 409, 108, 419, 353

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

2 x 703 x 409 x 108 x 419 x 353 = 9185887293624

Therefore, the lowest common multiple of 703,409,216,838,353 is 9185887293624.

LCM Formula to Find Lowest Common Multiple of 703,409,216,838,353

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.

703 x 409 x 216 x 838 x 353 = 18371774587248

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.

703 : 1, 19, 37, 703

409 : 1, 409

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

838 : 1, 2, 419, 838

353 : 1, 353

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 703,409,216,838,353, is 1.

Now, the common factors can be found like this.

703:19x 37

409:409

216:2x 2x 2x 3x 3x 3

838:2x 419

353:353

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 = 18371774587248/(1x2)

LCM = 18371774587248/2

LCM = 9185887293624

Thus, we can understand that the LCM of 703,409,216,838,353 is 9185887293624.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 703, 409, 216, 838, 353

1. What is the LCM of 703, 409, 216, 838, 353?

Answer: LCM of 703, 409, 216, 838, 353 is 9185887293624.

2. How to calculate the LCM of 703, 409, 216, 838, 353?

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 703, 409, 216, 838, 353.

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}.