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LCM of 641, 471, 975, 754

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


Find the LCM of 641, 471, 975, 754 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 641, 471, 975, 754. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 641,471,975,754

Given numbers are 641,471,975,754

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

The LCM of 641,471,975,754 is 5691022350.

Find LCM of 641,471,975,754 with Prime Factorization


3 641, 471, 975, 754
13 641, 157, 325, 754
641, 157, 25, 58

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

3 x 13 x 641 x 157 x 25 x 58 = 5691022350

Therefore, the lowest common multiple of 641,471,975,754 is 5691022350.

LCM Formula to Find Lowest Common Multiple of 641,471,975,754

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.

641 x 471 x 975 x 754 = 221949871650

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.

641 : 1, 641

471 : 1, 3, 157, 471

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,471,975,754, is 1.

Now, the common factors can be found like this.

641:641

471:3x 157

975:3x 5x 5x 13

754:2x 13x 29

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 221949871650/(1x39)

LCM = 221949871650/39

LCM = 5691022350

Thus, we can understand that the LCM of 641,471,975,754 is 5691022350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 641, 471, 975, 754

1. What is the LCM of 641, 471, 975, 754?

Answer: LCM of 641, 471, 975, 754 is 5691022350.

2. How to calculate the LCM of 641, 471, 975, 754?

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 641, 471, 975, 754.

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}.