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LCM of 695, 834, 248

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


Find the LCM of 695, 834, 248 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 695, 834, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,834,248

Given numbers are 695,834,248

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

The LCM of 695,834,248 is 517080.

Find LCM of 695,834,248 with Prime Factorization


2 695, 834, 248
139 695, 417, 124
5, 3, 124

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

2 x 139 x 5 x 3 x 124 = 517080

Therefore, the lowest common multiple of 695,834,248 is 517080.

LCM Formula to Find Lowest Common Multiple of 695,834,248

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.

695 x 834 x 248 = 143748240

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.

695 : 1, 5, 139, 695

834 : 1, 2, 3, 6, 139, 278, 417, 834

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,834,248, is 1.

Now, the common factors can be found like this.

695:5x 139

834:2x 3x 139

248:2x 2x 2x 31

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

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 143748240/(1x278)

LCM = 143748240/278

LCM = 517080

Thus, we can understand that the LCM of 695,834,248 is 517080.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 695, 834, 248

1. What is the LCM of 695, 834, 248?

Answer: LCM of 695, 834, 248 is 517080.

2. How to calculate the LCM of 695, 834, 248?

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 695, 834, 248.

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}.