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LCM of 907, 722, 976, 755

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


Find the LCM of 907, 722, 976, 755 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 907, 722, 976, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,722,976,755

Given numbers are 907,722,976,755

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

The LCM of 907,722,976,755 is 241274407760.

Find LCM of 907,722,976,755 with Prime Factorization


2 907, 722, 976, 755
907, 361, 488, 755

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

2 x 907 x 361 x 488 x 755 = 241274407760

Therefore, the lowest common multiple of 907,722,976,755 is 241274407760.

LCM Formula to Find Lowest Common Multiple of 907,722,976,755

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.

907 x 722 x 976 x 755 = 482548815520

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.

907 : 1, 907

722 : 1, 2, 19, 38, 361, 722

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,722,976,755, is 1.

Now, the common factors can be found like this.

907:907

722:2x 19x 19

976:2x 2x 2x 2x 61

755:5x 151

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 = 482548815520/(1x2)

LCM = 482548815520/2

LCM = 241274407760

Thus, we can understand that the LCM of 907,722,976,755 is 241274407760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 722, 976, 755

1. What is the LCM of 907, 722, 976, 755?

Answer: LCM of 907, 722, 976, 755 is 241274407760.

2. How to calculate the LCM of 907, 722, 976, 755?

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 907, 722, 976, 755.

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}.