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LCM of 946, 869, 345, 735

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


Find the LCM of 946, 869, 345, 735 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 946, 869, 345, 735. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,869,345,735

Given numbers are 946,869,345,735

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

The LCM of 946,869,345,735 is 1263378270.

Find LCM of 946,869,345,735 with Prime Factorization


3 946, 869, 345, 735
5 946, 869, 115, 245
11 946, 869, 23, 49
86, 79, 23, 49

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

3 x 5 x 11 x 86 x 79 x 23 x 49 = 1263378270

Therefore, the lowest common multiple of 946,869,345,735 is 1263378270.

LCM Formula to Find Lowest Common Multiple of 946,869,345,735

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.

946 x 869 x 345 x 735 = 208457414550

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

869 : 1, 11, 79, 869

345 : 1, 3, 5, 15, 23, 69, 115, 345

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,869,345,735, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

869:11x 79

345:3x 5x 23

735:3x 5x 7x 7

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

3x 5x 11 = 165

Therefore, the value for common factors is 165.

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 = 208457414550/(1x165)

LCM = 208457414550/165

LCM = 1263378270

Thus, we can understand that the LCM of 946,869,345,735 is 1263378270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 869, 345, 735

1. What is the LCM of 946, 869, 345, 735?

Answer: LCM of 946, 869, 345, 735 is 1263378270.

2. How to calculate the LCM of 946, 869, 345, 735?

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 946, 869, 345, 735.

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}.