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LCM of 905, 723, 973, 981, 762

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


Find the LCM of 905, 723, 973, 981, 762 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 905, 723, 973, 981, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,723,973,981,762

Given numbers are 905,723,973,981,762

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

The LCM of 905,723,973,981,762 is 52878750697710.

Find LCM of 905,723,973,981,762 with Prime Factorization


3 905, 723, 973, 981, 762
905, 241, 973, 327, 254

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

3 x 905 x 241 x 973 x 327 x 254 = 52878750697710

Therefore, the lowest common multiple of 905,723,973,981,762 is 52878750697710.

LCM Formula to Find Lowest Common Multiple of 905,723,973,981,762

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.

905 x 723 x 973 x 981 x 762 = 475908756279390

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.

905 : 1, 5, 181, 905

723 : 1, 3, 241, 723

973 : 1, 7, 139, 973

981 : 1, 3, 9, 109, 327, 981

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,723,973,981,762, is 1.

Now, the common factors can be found like this.

905:5x 181

723:3x 241

973:7x 139

981:3x 3x 109

762:2x 3x 127

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 475908756279390/(1x9)

LCM = 475908756279390/9

LCM = 52878750697710

Thus, we can understand that the LCM of 905,723,973,981,762 is 52878750697710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 723, 973, 981, 762

1. What is the LCM of 905, 723, 973, 981, 762?

Answer: LCM of 905, 723, 973, 981, 762 is 52878750697710.

2. How to calculate the LCM of 905, 723, 973, 981, 762?

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 905, 723, 973, 981, 762.

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}.