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LCM of 880, 905, 951, 649

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


Find the LCM of 880, 905, 951, 649 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 880, 905, 951, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,905,951,649

Given numbers are 880,905,951,649

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

The LCM of 880,905,951,649 is 8937041520.

Find LCM of 880,905,951,649 with Prime Factorization


5 880, 905, 951, 649
11 176, 181, 951, 649
16, 181, 951, 59

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

5 x 11 x 16 x 181 x 951 x 59 = 8937041520

Therefore, the lowest common multiple of 880,905,951,649 is 8937041520.

LCM Formula to Find Lowest Common Multiple of 880,905,951,649

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.

880 x 905 x 951 x 649 = 491537283600

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

905 : 1, 5, 181, 905

951 : 1, 3, 317, 951

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,905,951,649, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

905:5x 181

951:3x 317

649:11x 59

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 491537283600/(1x55)

LCM = 491537283600/55

LCM = 8937041520

Thus, we can understand that the LCM of 880,905,951,649 is 8937041520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 905, 951, 649

1. What is the LCM of 880, 905, 951, 649?

Answer: LCM of 880, 905, 951, 649 is 8937041520.

2. How to calculate the LCM of 880, 905, 951, 649?

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 880, 905, 951, 649.

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}.