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LCM of 137, 884, 293, 806, 510

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


Find the LCM of 137, 884, 293, 806, 510 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 137, 884, 293, 806, 510. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 137,884,293,806,510

Given numbers are 137,884,293,806,510

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

The LCM of 137,884,293,806,510 is 16500359460.

Find LCM of 137,884,293,806,510 with Prime Factorization


2 137, 884, 293, 806, 510
13 137, 442, 293, 403, 255
17 137, 34, 293, 31, 255
137, 2, 293, 31, 15

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

2 x 13 x 17 x 137 x 2 x 293 x 31 x 15 = 16500359460

Therefore, the lowest common multiple of 137,884,293,806,510 is 16500359460.

LCM Formula to Find Lowest Common Multiple of 137,884,293,806,510

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.

137 x 884 x 293 x 806 x 510 = 14586317762640

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.

137 : 1, 137

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

293 : 1, 293

806 : 1, 2, 13, 26, 31, 62, 403, 806

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 137,884,293,806,510, is 1.

Now, the common factors can be found like this.

137:137

884:2x 2x 13x 17

293:293

806:2x 13x 31

510:2x 3x 5x 17

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 13x 17 = 884

Therefore, the value for common factors is 884.

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 = 14586317762640/(1x884)

LCM = 14586317762640/884

LCM = 16500359460

Thus, we can understand that the LCM of 137,884,293,806,510 is 16500359460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 137, 884, 293, 806, 510

1. What is the LCM of 137, 884, 293, 806, 510?

Answer: LCM of 137, 884, 293, 806, 510 is 16500359460.

2. How to calculate the LCM of 137, 884, 293, 806, 510?

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 137, 884, 293, 806, 510.

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}.