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LCM of 852, 497, 965, 278, 941

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


Find the LCM of 852, 497, 965, 278, 941 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 852, 497, 965, 278, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 852,497,965,278,941

Given numbers are 852,497,965,278,941

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

The LCM of 852,497,965,278,941 is 752782252740.

Find LCM of 852,497,965,278,941 with Prime Factorization


2 852, 497, 965, 278, 941
71 426, 497, 965, 139, 941
6, 7, 965, 139, 941

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

2 x 71 x 6 x 7 x 965 x 139 x 941 = 752782252740

Therefore, the lowest common multiple of 852,497,965,278,941 is 752782252740.

LCM Formula to Find Lowest Common Multiple of 852,497,965,278,941

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.

852 x 497 x 965 x 278 x 941 = 106895079889080

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

497 : 1, 7, 71, 497

965 : 1, 5, 193, 965

278 : 1, 2, 139, 278

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,497,965,278,941, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

497:7x 71

965:5x 193

278:2x 139

941:941

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 106895079889080/(1x142)

LCM = 106895079889080/142

LCM = 752782252740

Thus, we can understand that the LCM of 852,497,965,278,941 is 752782252740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 852, 497, 965, 278, 941

1. What is the LCM of 852, 497, 965, 278, 941?

Answer: LCM of 852, 497, 965, 278, 941 is 752782252740.

2. How to calculate the LCM of 852, 497, 965, 278, 941?

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 852, 497, 965, 278, 941.

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}.