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LCM of 949, 555, 179, 745, 473

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


Find the LCM of 949, 555, 179, 745, 473 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 949, 555, 179, 745, 473. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 949,555,179,745,473

Given numbers are 949,555,179,745,473

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

The LCM of 949,555,179,745,473 is 6644459149185.

Find LCM of 949,555,179,745,473 with Prime Factorization


5 949, 555, 179, 745, 473
949, 111, 179, 149, 473

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

5 x 949 x 111 x 179 x 149 x 473 = 6644459149185

Therefore, the lowest common multiple of 949,555,179,745,473 is 6644459149185.

LCM Formula to Find Lowest Common Multiple of 949,555,179,745,473

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.

949 x 555 x 179 x 745 x 473 = 33222295745925

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.

949 : 1, 13, 73, 949

555 : 1, 3, 5, 15, 37, 111, 185, 555

179 : 1, 179

745 : 1, 5, 149, 745

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,555,179,745,473, is 1.

Now, the common factors can be found like this.

949:13x 73

555:3x 5x 37

179:179

745:5x 149

473:11x 43

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

5 = 5

Therefore, the value for common factors is 5.

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 = 33222295745925/(1x5)

LCM = 33222295745925/5

LCM = 6644459149185

Thus, we can understand that the LCM of 949,555,179,745,473 is 6644459149185.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 949, 555, 179, 745, 473

1. What is the LCM of 949, 555, 179, 745, 473?

Answer: LCM of 949, 555, 179, 745, 473 is 6644459149185.

2. How to calculate the LCM of 949, 555, 179, 745, 473?

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 949, 555, 179, 745, 473.

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}.