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LCM of 892, 923, 801, 979, 677

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


Find the LCM of 892, 923, 801, 979, 677 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, 923, 801, 979, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,923,801,979,677

Given numbers are 892,923,801,979,677

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

The LCM of 892,923,801,979,677 is 4911118635852.

Find LCM of 892,923,801,979,677 with Prime Factorization


89 892, 923, 801, 979, 677
892, 923, 9, 11, 677

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

89 x 892 x 923 x 9 x 11 x 677 = 4911118635852

Therefore, the lowest common multiple of 892,923,801,979,677 is 4911118635852.

LCM Formula to Find Lowest Common Multiple of 892,923,801,979,677

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 923 x 801 x 979 x 677 = 437089558590828

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

923 : 1, 13, 71, 923

801 : 1, 3, 9, 89, 267, 801

979 : 1, 11, 89, 979

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,923,801,979,677, is 1.

Now, the common factors can be found like this.

892:2x 2x 223

923:13x 71

801:3x 3x 89

979:11x 89

677:677

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

89 = 89

Therefore, the value for common factors is 89.

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 = 437089558590828/(1x89)

LCM = 437089558590828/89

LCM = 4911118635852

Thus, we can understand that the LCM of 892,923,801,979,677 is 4911118635852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 923, 801, 979, 677

1. What is the LCM of 892, 923, 801, 979, 677?

Answer: LCM of 892, 923, 801, 979, 677 is 4911118635852.

2. How to calculate the LCM of 892, 923, 801, 979, 677?

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, 923, 801, 979, 677.

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}.