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LCM of 473, 190, 402, 835

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


Find the LCM of 473, 190, 402, 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 473, 190, 402, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 473,190,402,835

Given numbers are 473,190,402,835

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

The LCM of 473,190,402,835 is 3016666290.

Find LCM of 473,190,402,835 with Prime Factorization


2 473, 190, 402, 835
5 473, 95, 201, 835
473, 19, 201, 167

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

2 x 5 x 473 x 19 x 201 x 167 = 3016666290

Therefore, the lowest common multiple of 473,190,402,835 is 3016666290.

LCM Formula to Find Lowest Common Multiple of 473,190,402,835

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.

473 x 190 x 402 x 835 = 30166662900

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.

473 : 1, 11, 43, 473

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,190,402,835, is 1.

Now, the common factors can be found like this.

473:11x 43

190:2x 5x 19

402:2x 3x 67

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.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 30166662900/(1x10)

LCM = 30166662900/10

LCM = 3016666290

Thus, we can understand that the LCM of 473,190,402,835 is 3016666290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 473, 190, 402, 835

1. What is the LCM of 473, 190, 402, 835?

Answer: LCM of 473, 190, 402, 835 is 3016666290.

2. How to calculate the LCM of 473, 190, 402, 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 473, 190, 402, 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}.