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LCM of 752, 672, 742, 969

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


Find the LCM of 752, 672, 742, 969 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 752, 672, 742, 969. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 752,672,742,969

Given numbers are 752,672,742,969

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

The LCM of 752,672,742,969 is 540686496.

Find LCM of 752,672,742,969 with Prime Factorization


2 752, 672, 742, 969
2 376, 336, 371, 969
2 188, 168, 371, 969
2 94, 84, 371, 969
3 47, 42, 371, 969
7 47, 14, 371, 323
47, 2, 53, 323

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

2 x 2 x 2 x 2 x 3 x 7 x 47 x 2 x 53 x 323 = 540686496

Therefore, the lowest common multiple of 752,672,742,969 is 540686496.

LCM Formula to Find Lowest Common Multiple of 752,672,742,969

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.

752 x 672 x 742 x 969 = 363341325312

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

742 : 1, 2, 7, 14, 53, 106, 371, 742

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,672,742,969, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

672:2x 2x 2x 2x 2x 3x 7

742:2x 7x 53

969:3x 17x 19

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

2x 2x 2x 2x 2x 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 363341325312/(1x672)

LCM = 363341325312/672

LCM = 540686496

Thus, we can understand that the LCM of 752,672,742,969 is 540686496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 752, 672, 742, 969

1. What is the LCM of 752, 672, 742, 969?

Answer: LCM of 752, 672, 742, 969 is 540686496.

2. How to calculate the LCM of 752, 672, 742, 969?

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 752, 672, 742, 969.

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}.