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LCM of 295, 748, 756, 524

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


Find the LCM of 295, 748, 756, 524 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 295, 748, 756, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 295,748,756,524

Given numbers are 295,748,756,524

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

The LCM of 295,748,756,524 is 5463320940.

Find LCM of 295,748,756,524 with Prime Factorization


2 295, 748, 756, 524
2 295, 374, 378, 262
295, 187, 189, 131

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

2 x 2 x 295 x 187 x 189 x 131 = 5463320940

Therefore, the lowest common multiple of 295,748,756,524 is 5463320940.

LCM Formula to Find Lowest Common Multiple of 295,748,756,524

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.

295 x 748 x 756 x 524 = 87413135040

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.

295 : 1, 5, 59, 295

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,748,756,524, is 1.

Now, the common factors can be found like this.

295:5x 59

748:2x 2x 11x 17

756:2x 2x 3x 3x 3x 7

524:2x 2x 131

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 2 = 16

Therefore, the value for common factors is 16.

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 = 87413135040/(1x16)

LCM = 87413135040/16

LCM = 5463320940

Thus, we can understand that the LCM of 295,748,756,524 is 5463320940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 295, 748, 756, 524

1. What is the LCM of 295, 748, 756, 524?

Answer: LCM of 295, 748, 756, 524 is 5463320940.

2. How to calculate the LCM of 295, 748, 756, 524?

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 295, 748, 756, 524.

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}.