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LCM of 832, 518, 274

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


Find the LCM of 832, 518, 274 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 832, 518, 274. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,518,274

Given numbers are 832,518,274

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

The LCM of 832,518,274 is 29521856.

Find LCM of 832,518,274 with Prime Factorization


2 832, 518, 274
416, 259, 137

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

2 x 416 x 259 x 137 = 29521856

Therefore, the lowest common multiple of 832,518,274 is 29521856.

LCM Formula to Find Lowest Common Multiple of 832,518,274

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.

832 x 518 x 274 = 118087424

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

518 : 1, 2, 7, 14, 37, 74, 259, 518

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,518,274, is 2.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

518:2x 7x 37

274:2x 137

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

2 = 2

Therefore, the value for common factors is 2.

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 = 118087424/(2x2)

LCM = 118087424/4

LCM = 29521856

Thus, we can understand that the LCM of 832,518,274 is 29521856.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 832, 518, 274

1. What is the LCM of 832, 518, 274?

Answer: LCM of 832, 518, 274 is 29521856.

2. How to calculate the LCM of 832, 518, 274?

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 832, 518, 274.

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}.