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LCM of 935, 971, 935, 489

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


Find the LCM of 935, 971, 935, 489 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, 971, 935, 489. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 935,971,935,489

Given numbers are 935,971,935,489

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

The LCM of 935,971,935,489 is 443955765.

Find LCM of 935,971,935,489 with Prime Factorization


5 935, 971, 935, 489
11 187, 971, 187, 489
17 17, 971, 17, 489
1, 971, 1, 489

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

5 x 11 x 17 x 1 x 971 x 1 x 489 = 443955765

Therefore, the lowest common multiple of 935,971,935,489 is 443955765.

LCM Formula to Find Lowest Common Multiple of 935,971,935,489

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 971 x 935 x 489 = 415098640275

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

971 : 1, 971

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,971,935,489, is 1.

Now, the common factors can be found like this.

935:5x 11x 17

971:971

935:5x 11x 17

489:3x 163

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

5x 11x 17 = 935

Therefore, the value for common factors is 935.

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 = 415098640275/(1x935)

LCM = 415098640275/935

LCM = 443955765

Thus, we can understand that the LCM of 935,971,935,489 is 443955765.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 935, 971, 935, 489

1. What is the LCM of 935, 971, 935, 489?

Answer: LCM of 935, 971, 935, 489 is 443955765.

2. How to calculate the LCM of 935, 971, 935, 489?

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, 971, 935, 489.

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}.