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LCM of 373, 104, 869, 870

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


Find the LCM of 373, 104, 869, 870 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 373, 104, 869, 870. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 373,104,869,870

Given numbers are 373,104,869,870

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

The LCM of 373,104,869,870 is 14663957880.

Find LCM of 373,104,869,870 with Prime Factorization


2 373, 104, 869, 870
373, 52, 869, 435

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

2 x 373 x 52 x 869 x 435 = 14663957880

Therefore, the lowest common multiple of 373,104,869,870 is 14663957880.

LCM Formula to Find Lowest Common Multiple of 373,104,869,870

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.

373 x 104 x 869 x 870 = 29327915760

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.

373 : 1, 373

104 : 1, 2, 4, 8, 13, 26, 52, 104

869 : 1, 11, 79, 869

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,104,869,870, is 1.

Now, the common factors can be found like this.

373:373

104:2x 2x 2x 13

869:11x 79

870:2x 3x 5x 29

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

2 = 2

Therefore, the value for common factors is 2.

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 = 29327915760/(1x2)

LCM = 29327915760/2

LCM = 14663957880

Thus, we can understand that the LCM of 373,104,869,870 is 14663957880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 373, 104, 869, 870

1. What is the LCM of 373, 104, 869, 870?

Answer: LCM of 373, 104, 869, 870 is 14663957880.

2. How to calculate the LCM of 373, 104, 869, 870?

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 373, 104, 869, 870.

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}.