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LCM of 846, 902, 519

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


Find the LCM of 846, 902, 519 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 846, 902, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 846,902,519

Given numbers are 846,902,519

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

The LCM of 846,902,519 is 66007458.

Find LCM of 846,902,519 with Prime Factorization


2 846, 902, 519
3 423, 451, 519
141, 451, 173

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

2 x 3 x 141 x 451 x 173 = 66007458

Therefore, the lowest common multiple of 846,902,519 is 66007458.

LCM Formula to Find Lowest Common Multiple of 846,902,519

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.

846 x 902 x 519 = 396044748

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.

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

902 : 1, 2, 11, 22, 41, 82, 451, 902

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,902,519, is 1.

Now, the common factors can be found like this.

846:2x 3x 3x 47

902:2x 11x 41

519:3x 173

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 396044748/(1x6)

LCM = 396044748/6

LCM = 66007458

Thus, we can understand that the LCM of 846,902,519 is 66007458.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 846, 902, 519

1. What is the LCM of 846, 902, 519?

Answer: LCM of 846, 902, 519 is 66007458.

2. How to calculate the LCM of 846, 902, 519?

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 846, 902, 519.

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}.