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LCM of 472, 881, 881, 590, 476

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


Find the LCM of 472, 881, 881, 590, 476 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 472, 881, 881, 590, 476. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 472,881,881,590,476

Given numbers are 472,881,881,590,476

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

The LCM of 472,881,881,590,476 is 247420040.

Find LCM of 472,881,881,590,476 with Prime Factorization


2 472, 881, 881, 590, 476
2 236, 881, 881, 295, 238
59 118, 881, 881, 295, 119
881 2, 881, 881, 5, 119
2, 1, 1, 5, 119

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

2 x 2 x 59 x 881 x 2 x 1 x 1 x 5 x 119 = 247420040

Therefore, the lowest common multiple of 472,881,881,590,476 is 247420040.

LCM Formula to Find Lowest Common Multiple of 472,881,881,590,476

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.

472 x 881 x 881 x 590 x 476 = 102885170073280

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

881 : 1, 881

881 : 1, 881

590 : 1, 2, 5, 10, 59, 118, 295, 590

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,881,881,590,476, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

881:881

881:881

590:2x 5x 59

476:2x 2x 7x 17

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

2x 2x 2x 59x 881 = 415832

Therefore, the value for common factors is 415832.

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 = 102885170073280/(1x415832)

LCM = 102885170073280/415832

LCM = 247420040

Thus, we can understand that the LCM of 472,881,881,590,476 is 247420040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 472, 881, 881, 590, 476

1. What is the LCM of 472, 881, 881, 590, 476?

Answer: LCM of 472, 881, 881, 590, 476 is 247420040.

2. How to calculate the LCM of 472, 881, 881, 590, 476?

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 472, 881, 881, 590, 476.

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}.