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LCM of 889, 872, 763, 119

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


Find the LCM of 889, 872, 763, 119 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 889, 872, 763, 119. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 889,872,763,119

Given numbers are 889,872,763,119

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

The LCM of 889,872,763,119 is 13178536.

Find LCM of 889,872,763,119 with Prime Factorization


7 889, 872, 763, 119
109 127, 872, 109, 17
127, 8, 1, 17

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

7 x 109 x 127 x 8 x 1 x 17 = 13178536

Therefore, the lowest common multiple of 889,872,763,119 is 13178536.

LCM Formula to Find Lowest Common Multiple of 889,872,763,119

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.

889 x 872 x 763 x 119 = 70386560776

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.

889 : 1, 7, 127, 889

872 : 1, 2, 4, 8, 109, 218, 436, 872

763 : 1, 7, 109, 763

119 : 1, 7, 17, 119

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,872,763,119, is 1.

Now, the common factors can be found like this.

889:7x 127

872:2x 2x 2x 109

763:7x 109

119:7x 17

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

7x 7x 109 = 5341

Therefore, the value for common factors is 5341.

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 = 70386560776/(1x5341)

LCM = 70386560776/5341

LCM = 13178536

Thus, we can understand that the LCM of 889,872,763,119 is 13178536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 889, 872, 763, 119

1. What is the LCM of 889, 872, 763, 119?

Answer: LCM of 889, 872, 763, 119 is 13178536.

2. How to calculate the LCM of 889, 872, 763, 119?

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 889, 872, 763, 119.

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}.