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LCM of 653, 769, 969, 654

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


Find the LCM of 653, 769, 969, 654 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 653, 769, 969, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 653,769,969,654

Given numbers are 653,769,969,654

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

The LCM of 653,769,969,654 is 106076648994.

Find LCM of 653,769,969,654 with Prime Factorization


3 653, 769, 969, 654
653, 769, 323, 218

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

3 x 653 x 769 x 323 x 218 = 106076648994

Therefore, the lowest common multiple of 653,769,969,654 is 106076648994.

LCM Formula to Find Lowest Common Multiple of 653,769,969,654

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.

653 x 769 x 969 x 654 = 318229946982

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.

653 : 1, 653

769 : 1, 769

969 : 1, 3, 17, 19, 51, 57, 323, 969

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,769,969,654, is 1.

Now, the common factors can be found like this.

653:653

769:769

969:3x 17x 19

654:2x 3x 109

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

3 = 3

Therefore, the value for common factors is 3.

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 = 318229946982/(1x3)

LCM = 318229946982/3

LCM = 106076648994

Thus, we can understand that the LCM of 653,769,969,654 is 106076648994.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 653, 769, 969, 654

1. What is the LCM of 653, 769, 969, 654?

Answer: LCM of 653, 769, 969, 654 is 106076648994.

2. How to calculate the LCM of 653, 769, 969, 654?

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 653, 769, 969, 654.

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}.