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LCM of 825, 946, 749, 378

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


Find the LCM of 825, 946, 749, 378 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 825, 946, 749, 378. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 825,946,749,378

Given numbers are 825,946,749,378

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

The LCM of 825,946,749,378 is 478273950.

Find LCM of 825,946,749,378 with Prime Factorization


2 825, 946, 749, 378
3 825, 473, 749, 189
7 275, 473, 749, 63
11 275, 473, 107, 9
25, 43, 107, 9

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

2 x 3 x 7 x 11 x 25 x 43 x 107 x 9 = 478273950

Therefore, the lowest common multiple of 825,946,749,378 is 478273950.

LCM Formula to Find Lowest Common Multiple of 825,946,749,378

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.

825 x 946 x 749 x 378 = 220962564900

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

749 : 1, 7, 107, 749

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,946,749,378, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

946:2x 11x 43

749:7x 107

378:2x 3x 3x 3x 7

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

2x 3x 7x 11 = 462

Therefore, the value for common factors is 462.

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 = 220962564900/(1x462)

LCM = 220962564900/462

LCM = 478273950

Thus, we can understand that the LCM of 825,946,749,378 is 478273950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 825, 946, 749, 378

1. What is the LCM of 825, 946, 749, 378?

Answer: LCM of 825, 946, 749, 378 is 478273950.

2. How to calculate the LCM of 825, 946, 749, 378?

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 825, 946, 749, 378.

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}.