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LCM of 976, 791, 972, 496, 524

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


Find the LCM of 976, 791, 972, 496, 524 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 976, 791, 972, 496, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 976,791,972,496,524

Given numbers are 976,791,972,496,524

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

The LCM of 976,791,972,496,524 is 761843145168.

Find LCM of 976,791,972,496,524 with Prime Factorization


2 976, 791, 972, 496, 524
2 488, 791, 486, 248, 262
2 244, 791, 243, 124, 131
2 122, 791, 243, 62, 131
61, 791, 243, 31, 131

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

2 x 2 x 2 x 2 x 61 x 791 x 243 x 31 x 131 = 761843145168

Therefore, the lowest common multiple of 976,791,972,496,524 is 761843145168.

LCM Formula to Find Lowest Common Multiple of 976,791,972,496,524

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.

976 x 791 x 972 x 496 x 524 = 195031845163008

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.

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

791 : 1, 7, 113, 791

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 976,791,972,496,524, is 1.

Now, the common factors can be found like this.

976:2x 2x 2x 2x 61

791:7x 113

972:2x 2x 3x 3x 3x 3x 3

496:2x 2x 2x 2x 31

524:2x 2x 131

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 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 195031845163008/(1x256)

LCM = 195031845163008/256

LCM = 761843145168

Thus, we can understand that the LCM of 976,791,972,496,524 is 761843145168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 976, 791, 972, 496, 524

1. What is the LCM of 976, 791, 972, 496, 524?

Answer: LCM of 976, 791, 972, 496, 524 is 761843145168.

2. How to calculate the LCM of 976, 791, 972, 496, 524?

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 976, 791, 972, 496, 524.

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}.