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LCM of 869, 674, 900, 779

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


Find the LCM of 869, 674, 900, 779 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 869, 674, 900, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 869,674,900,779

Given numbers are 869,674,900,779

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

The LCM of 869,674,900,779 is 205319238300.

Find LCM of 869,674,900,779 with Prime Factorization


2 869, 674, 900, 779
869, 337, 450, 779

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

2 x 869 x 337 x 450 x 779 = 205319238300

Therefore, the lowest common multiple of 869,674,900,779 is 205319238300.

LCM Formula to Find Lowest Common Multiple of 869,674,900,779

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.

869 x 674 x 900 x 779 = 410638476600

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.

869 : 1, 11, 79, 869

674 : 1, 2, 337, 674

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,674,900,779, is 1.

Now, the common factors can be found like this.

869:11x 79

674:2x 337

900:2x 2x 3x 3x 5x 5

779:19x 41

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 = 410638476600/(1x2)

LCM = 410638476600/2

LCM = 205319238300

Thus, we can understand that the LCM of 869,674,900,779 is 205319238300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 869, 674, 900, 779

1. What is the LCM of 869, 674, 900, 779?

Answer: LCM of 869, 674, 900, 779 is 205319238300.

2. How to calculate the LCM of 869, 674, 900, 779?

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 869, 674, 900, 779.

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}.