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LCM of 286, 987, 862, 226, 981

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


Find the LCM of 286, 987, 862, 226, 981 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 286, 987, 862, 226, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,987,862,226,981

Given numbers are 286,987,862,226,981

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

The LCM of 286,987,862,226,981 is 4495589540442.

Find LCM of 286,987,862,226,981 with Prime Factorization


2 286, 987, 862, 226, 981
3 143, 987, 431, 113, 981
143, 329, 431, 113, 327

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

2 x 3 x 143 x 329 x 431 x 113 x 327 = 4495589540442

Therefore, the lowest common multiple of 286,987,862,226,981 is 4495589540442.

LCM Formula to Find Lowest Common Multiple of 286,987,862,226,981

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.

286 x 987 x 862 x 226 x 981 = 53947074485304

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

987 : 1, 3, 7, 21, 47, 141, 329, 987

862 : 1, 2, 431, 862

226 : 1, 2, 113, 226

981 : 1, 3, 9, 109, 327, 981

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,987,862,226,981, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

987:3x 7x 47

862:2x 431

226:2x 113

981:3x 3x 109

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 3 = 12

Therefore, the value for common factors is 12.

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 = 53947074485304/(1x12)

LCM = 53947074485304/12

LCM = 4495589540442

Thus, we can understand that the LCM of 286,987,862,226,981 is 4495589540442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 987, 862, 226, 981

1. What is the LCM of 286, 987, 862, 226, 981?

Answer: LCM of 286, 987, 862, 226, 981 is 4495589540442.

2. How to calculate the LCM of 286, 987, 862, 226, 981?

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 286, 987, 862, 226, 981.

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}.