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LCM of 241, 802, 919, 919

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


Find the LCM of 241, 802, 919, 919 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 241, 802, 919, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,802,919,919

Given numbers are 241,802,919,919

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

The LCM of 241,802,919,919 is 177626158.

Find LCM of 241,802,919,919 with Prime Factorization


919 241, 802, 919, 919
241, 802, 1, 1

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

919 x 241 x 802 x 1 x 1 = 177626158

Therefore, the lowest common multiple of 241,802,919,919 is 177626158.

LCM Formula to Find Lowest Common Multiple of 241,802,919,919

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.

241 x 802 x 919 x 919 = 163238439202

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.

241 : 1, 241

802 : 1, 2, 401, 802

919 : 1, 919

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,802,919,919, is 1.

Now, the common factors can be found like this.

241:241

802:2x 401

919:919

919:919

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

919 = 919

Therefore, the value for common factors is 919.

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 = 163238439202/(1x919)

LCM = 163238439202/919

LCM = 177626158

Thus, we can understand that the LCM of 241,802,919,919 is 177626158.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 802, 919, 919

1. What is the LCM of 241, 802, 919, 919?

Answer: LCM of 241, 802, 919, 919 is 177626158.

2. How to calculate the LCM of 241, 802, 919, 919?

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 241, 802, 919, 919.

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}.