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LCM of 696, 442, 507, 846

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


Find the LCM of 696, 442, 507, 846 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 696, 442, 507, 846. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 696,442,507,846

Given numbers are 696,442,507,846

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

The LCM of 696,442,507,846 is 281944728.

Find LCM of 696,442,507,846 with Prime Factorization


2 696, 442, 507, 846
3 348, 221, 507, 423
13 116, 221, 169, 141
116, 17, 13, 141

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

2 x 3 x 13 x 116 x 17 x 13 x 141 = 281944728

Therefore, the lowest common multiple of 696,442,507,846 is 281944728.

LCM Formula to Find Lowest Common Multiple of 696,442,507,846

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.

696 x 442 x 507 x 846 = 131950132704

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

442 : 1, 2, 13, 17, 26, 34, 221, 442

507 : 1, 3, 13, 39, 169, 507

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,442,507,846, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

442:2x 13x 17

507:3x 13x 13

846:2x 3x 3x 47

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 131950132704/(1x468)

LCM = 131950132704/468

LCM = 281944728

Thus, we can understand that the LCM of 696,442,507,846 is 281944728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 696, 442, 507, 846

1. What is the LCM of 696, 442, 507, 846?

Answer: LCM of 696, 442, 507, 846 is 281944728.

2. How to calculate the LCM of 696, 442, 507, 846?

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 696, 442, 507, 846.

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}.