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LCM of 977, 590, 740, 449, 472

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


Find the LCM of 977, 590, 740, 449, 472 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 977, 590, 740, 449, 472. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 977,590,740,449,472

Given numbers are 977,590,740,449,472

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

The LCM of 977,590,740,449,472 is 38304926360.

Find LCM of 977,590,740,449,472 with Prime Factorization


2 977, 590, 740, 449, 472
2 977, 295, 370, 449, 236
5 977, 295, 185, 449, 118
59 977, 59, 37, 449, 118
977, 1, 37, 449, 2

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

2 x 2 x 5 x 59 x 977 x 1 x 37 x 449 x 2 = 38304926360

Therefore, the lowest common multiple of 977,590,740,449,472 is 38304926360.

LCM Formula to Find Lowest Common Multiple of 977,590,740,449,472

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.

977 x 590 x 740 x 449 x 472 = 90399626209600

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.

977 : 1, 977

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

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

449 : 1, 449

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,590,740,449,472, is 1.

Now, the common factors can be found like this.

977:977

590:2x 5x 59

740:2x 2x 5x 37

449:449

472:2x 2x 2x 59

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 5x 59 = 2360

Therefore, the value for common factors is 2360.

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 = 90399626209600/(1x2360)

LCM = 90399626209600/2360

LCM = 38304926360

Thus, we can understand that the LCM of 977,590,740,449,472 is 38304926360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 977, 590, 740, 449, 472

1. What is the LCM of 977, 590, 740, 449, 472?

Answer: LCM of 977, 590, 740, 449, 472 is 38304926360.

2. How to calculate the LCM of 977, 590, 740, 449, 472?

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 977, 590, 740, 449, 472.

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}.