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LCM of 693, 127, 429, 975

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


Find the LCM of 693, 127, 429, 975 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 693, 127, 429, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 693,127,429,975

Given numbers are 693,127,429,975

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

The LCM of 693,127,429,975 is 28603575.

Find LCM of 693,127,429,975 with Prime Factorization


3 693, 127, 429, 975
11 231, 127, 143, 325
13 21, 127, 13, 325
21, 127, 1, 25

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

3 x 11 x 13 x 21 x 127 x 1 x 25 = 28603575

Therefore, the lowest common multiple of 693,127,429,975 is 28603575.

LCM Formula to Find Lowest Common Multiple of 693,127,429,975

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.

693 x 127 x 429 x 975 = 36812801025

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.

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

127 : 1, 127

429 : 1, 3, 11, 13, 33, 39, 143, 429

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 693,127,429,975, is 1.

Now, the common factors can be found like this.

693:3x 3x 7x 11

127:127

429:3x 11x 13

975:3x 5x 5x 13

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

3x 3x 11x 13 = 1287

Therefore, the value for common factors is 1287.

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 = 36812801025/(1x1287)

LCM = 36812801025/1287

LCM = 28603575

Thus, we can understand that the LCM of 693,127,429,975 is 28603575.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 693, 127, 429, 975

1. What is the LCM of 693, 127, 429, 975?

Answer: LCM of 693, 127, 429, 975 is 28603575.

2. How to calculate the LCM of 693, 127, 429, 975?

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 693, 127, 429, 975.

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}.