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LCM of 892, 724, 955, 976, 251

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


Find the LCM of 892, 724, 955, 976, 251 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 892, 724, 955, 976, 251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,724,955,976,251

Given numbers are 892,724,955,976,251

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

The LCM of 892,724,955,976,251 is 9443007805040.

Find LCM of 892,724,955,976,251 with Prime Factorization


2 892, 724, 955, 976, 251
2 446, 362, 955, 488, 251
223, 181, 955, 244, 251

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

2 x 2 x 223 x 181 x 955 x 244 x 251 = 9443007805040

Therefore, the lowest common multiple of 892,724,955,976,251 is 9443007805040.

LCM Formula to Find Lowest Common Multiple of 892,724,955,976,251

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.

892 x 724 x 955 x 976 x 251 = 151088124880640

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.

892 : 1, 2, 4, 223, 446, 892

724 : 1, 2, 4, 181, 362, 724

955 : 1, 5, 191, 955

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

251 : 1, 251

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,724,955,976,251, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

724:2x 2x 181

955:5x 191

976:2x 2x 2x 2x 61

251:251

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 2 = 16

Therefore, the value for common factors is 16.

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 = 151088124880640/(1x16)

LCM = 151088124880640/16

LCM = 9443007805040

Thus, we can understand that the LCM of 892,724,955,976,251 is 9443007805040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 724, 955, 976, 251

1. What is the LCM of 892, 724, 955, 976, 251?

Answer: LCM of 892, 724, 955, 976, 251 is 9443007805040.

2. How to calculate the LCM of 892, 724, 955, 976, 251?

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 892, 724, 955, 976, 251.

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}.