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LCM of 499, 248, 421, 492, 844

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


Find the LCM of 499, 248, 421, 492, 844 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 499, 248, 421, 492, 844. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 499,248,421,492,844

Given numbers are 499,248,421,492,844

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

The LCM of 499,248,421,492,844 is 1352140711176.

Find LCM of 499,248,421,492,844 with Prime Factorization


2 499, 248, 421, 492, 844
2 499, 124, 421, 246, 422
499, 62, 421, 123, 211

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

2 x 2 x 499 x 62 x 421 x 123 x 211 = 1352140711176

Therefore, the lowest common multiple of 499,248,421,492,844 is 1352140711176.

LCM Formula to Find Lowest Common Multiple of 499,248,421,492,844

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.

499 x 248 x 421 x 492 x 844 = 21634251378816

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.

499 : 1, 499

248 : 1, 2, 4, 8, 31, 62, 124, 248

421 : 1, 421

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,248,421,492,844, is 1.

Now, the common factors can be found like this.

499:499

248:2x 2x 2x 31

421:421

492:2x 2x 3x 41

844:2x 2x 211

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 2 = 16

Therefore, the value for common factors is 16.

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 = 21634251378816/(1x16)

LCM = 21634251378816/16

LCM = 1352140711176

Thus, we can understand that the LCM of 499,248,421,492,844 is 1352140711176.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 499, 248, 421, 492, 844

1. What is the LCM of 499, 248, 421, 492, 844?

Answer: LCM of 499, 248, 421, 492, 844 is 1352140711176.

2. How to calculate the LCM of 499, 248, 421, 492, 844?

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 499, 248, 421, 492, 844.

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}.