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LCM of 935, 545, 527, 452, 981

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


Find the LCM of 935, 545, 527, 452, 981 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 935, 545, 527, 452, 981. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,545,527,452,981

Given numbers are 935,545,527,452,981

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

The LCM of 935,545,527,452,981 is 12852296820.

Find LCM of 935,545,527,452,981 with Prime Factorization


5 935, 545, 527, 452, 981
17 187, 109, 527, 452, 981
109 11, 109, 31, 452, 981
11, 1, 31, 452, 9

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

5 x 17 x 109 x 11 x 1 x 31 x 452 x 9 = 12852296820

Therefore, the lowest common multiple of 935,545,527,452,981 is 12852296820.

LCM Formula to Find Lowest Common Multiple of 935,545,527,452,981

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.

935 x 545 x 527 x 452 x 981 = 119076530037300

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.

935 : 1, 5, 11, 17, 55, 85, 187, 935

545 : 1, 5, 109, 545

527 : 1, 17, 31, 527

452 : 1, 2, 4, 113, 226, 452

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,545,527,452,981, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

545:5x 109

527:17x 31

452:2x 2x 113

981:3x 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.

5x 17x 109 = 9265

Therefore, the value for common factors is 9265.

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 = 119076530037300/(1x9265)

LCM = 119076530037300/9265

LCM = 12852296820

Thus, we can understand that the LCM of 935,545,527,452,981 is 12852296820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 545, 527, 452, 981

1. What is the LCM of 935, 545, 527, 452, 981?

Answer: LCM of 935, 545, 527, 452, 981 is 12852296820.

2. How to calculate the LCM of 935, 545, 527, 452, 981?

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 935, 545, 527, 452, 981.

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}.