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LCM of 901, 976, 969, 836

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


Find the LCM of 901, 976, 969, 836 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 901, 976, 969, 836. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,976,969,836

Given numbers are 901,976,969,836

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

The LCM of 901,976,969,836 is 551368752.

Find LCM of 901,976,969,836 with Prime Factorization


2 901, 976, 969, 836
2 901, 488, 969, 418
17 901, 244, 969, 209
19 53, 244, 57, 209
53, 244, 3, 11

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

2 x 2 x 17 x 19 x 53 x 244 x 3 x 11 = 551368752

Therefore, the lowest common multiple of 901,976,969,836 is 551368752.

LCM Formula to Find Lowest Common Multiple of 901,976,969,836

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.

901 x 976 x 969 x 836 = 712368427584

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.

901 : 1, 17, 53, 901

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,976,969,836, is 1.

Now, the common factors can be found like this.

901:17x 53

976:2x 2x 2x 2x 61

969:3x 17x 19

836:2x 2x 11x 19

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 17x 19 = 1292

Therefore, the value for common factors is 1292.

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 = 712368427584/(1x1292)

LCM = 712368427584/1292

LCM = 551368752

Thus, we can understand that the LCM of 901,976,969,836 is 551368752.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 976, 969, 836

1. What is the LCM of 901, 976, 969, 836?

Answer: LCM of 901, 976, 969, 836 is 551368752.

2. How to calculate the LCM of 901, 976, 969, 836?

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 901, 976, 969, 836.

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}.