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LCM of 863, 649, 649, 948

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


Find the LCM of 863, 649, 649, 948 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 863, 649, 649, 948. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 863,649,649,948

Given numbers are 863,649,649,948

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

The LCM of 863,649,649,948 is 530962476.

Find LCM of 863,649,649,948 with Prime Factorization


11 863, 649, 649, 948
59 863, 59, 59, 948
863, 1, 1, 948

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

11 x 59 x 863 x 1 x 1 x 948 = 530962476

Therefore, the lowest common multiple of 863,649,649,948 is 530962476.

LCM Formula to Find Lowest Common Multiple of 863,649,649,948

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.

863 x 649 x 649 x 948 = 344594646924

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.

863 : 1, 863

649 : 1, 11, 59, 649

649 : 1, 11, 59, 649

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,649,649,948, is 1.

Now, the common factors can be found like this.

863:863

649:11x 59

649:11x 59

948:2x 2x 3x 79

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

11x 59 = 649

Therefore, the value for common factors is 649.

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 = 344594646924/(1x649)

LCM = 344594646924/649

LCM = 530962476

Thus, we can understand that the LCM of 863,649,649,948 is 530962476.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 863, 649, 649, 948

1. What is the LCM of 863, 649, 649, 948?

Answer: LCM of 863, 649, 649, 948 is 530962476.

2. How to calculate the LCM of 863, 649, 649, 948?

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 863, 649, 649, 948.

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}.