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LCM of 870, 762, 353, 241

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


Find the LCM of 870, 762, 353, 241 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 870, 762, 353, 241. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 870,762,353,241

Given numbers are 870,762,353,241

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

The LCM of 870,762,353,241 is 9399715770.

Find LCM of 870,762,353,241 with Prime Factorization


2 870, 762, 353, 241
3 435, 381, 353, 241
145, 127, 353, 241

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

2 x 3 x 145 x 127 x 353 x 241 = 9399715770

Therefore, the lowest common multiple of 870,762,353,241 is 9399715770.

LCM Formula to Find Lowest Common Multiple of 870,762,353,241

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.

870 x 762 x 353 x 241 = 56398294620

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

353 : 1, 353

241 : 1, 241

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,762,353,241, is 1.

Now, the common factors can be found like this.

870:2x 3x 5x 29

762:2x 3x 127

353:353

241:241

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 56398294620/(1x6)

LCM = 56398294620/6

LCM = 9399715770

Thus, we can understand that the LCM of 870,762,353,241 is 9399715770.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 870, 762, 353, 241

1. What is the LCM of 870, 762, 353, 241?

Answer: LCM of 870, 762, 353, 241 is 9399715770.

2. How to calculate the LCM of 870, 762, 353, 241?

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 870, 762, 353, 241.

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}.