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LCM of 402, 688, 835

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


Find the LCM of 402, 688, 835 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 402, 688, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,688,835

Given numbers are 402,688,835

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

The LCM of 402,688,835 is 115470480.

Find LCM of 402,688,835 with Prime Factorization


2 402, 688, 835
201, 344, 835

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

2 x 201 x 344 x 835 = 115470480

Therefore, the lowest common multiple of 402,688,835 is 115470480.

LCM Formula to Find Lowest Common Multiple of 402,688,835

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.

402 x 688 x 835 = 230940960

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,688,835, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

688:2x 2x 2x 2x 43

835:5x 167

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 = 230940960/(1x2)

LCM = 230940960/2

LCM = 115470480

Thus, we can understand that the LCM of 402,688,835 is 115470480.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 402, 688, 835

1. What is the LCM of 402, 688, 835?

Answer: LCM of 402, 688, 835 is 115470480.

2. How to calculate the LCM of 402, 688, 835?

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 402, 688, 835.

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}.