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LCM of 504, 847, 746, 941

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


Find the LCM of 504, 847, 746, 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 504, 847, 746, 941. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 504,847,746,941

Given numbers are 504,847,746,941

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

The LCM of 504,847,746,941 is 21404957112.

Find LCM of 504,847,746,941 with Prime Factorization


2 504, 847, 746, 941
7 252, 847, 373, 941
36, 121, 373, 941

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

2 x 7 x 36 x 121 x 373 x 941 = 21404957112

Therefore, the lowest common multiple of 504,847,746,941 is 21404957112.

LCM Formula to Find Lowest Common Multiple of 504,847,746,941

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.

504 x 847 x 746 x 941 = 299669399568

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

847 : 1, 7, 11, 77, 121, 847

746 : 1, 2, 373, 746

941 : 1, 941

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,847,746,941, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

847:7x 11x 11

746:2x 373

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 7 = 14

Therefore, the value for common factors is 14.

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 = 299669399568/(1x14)

LCM = 299669399568/14

LCM = 21404957112

Thus, we can understand that the LCM of 504,847,746,941 is 21404957112.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 504, 847, 746, 941

1. What is the LCM of 504, 847, 746, 941?

Answer: LCM of 504, 847, 746, 941 is 21404957112.

2. How to calculate the LCM of 504, 847, 746, 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 504, 847, 746, 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}.