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LCM of 688, 248, 752, 527

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


Find the LCM of 688, 248, 752, 527 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 688, 248, 752, 527. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 688,248,752,527

Given numbers are 688,248,752,527

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

The LCM of 688,248,752,527 is 17041072.

Find LCM of 688,248,752,527 with Prime Factorization


2 688, 248, 752, 527
2 344, 124, 376, 527
2 172, 62, 188, 527
2 86, 31, 94, 527
31 43, 31, 47, 527
43, 1, 47, 17

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

2 x 2 x 2 x 2 x 31 x 43 x 1 x 47 x 17 = 17041072

Therefore, the lowest common multiple of 688,248,752,527 is 17041072.

LCM Formula to Find Lowest Common Multiple of 688,248,752,527

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.

688 x 248 x 752 x 527 = 67618973696

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.

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

527 : 1, 17, 31, 527

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,248,752,527, is 1.

Now, the common factors can be found like this.

688:2x 2x 2x 2x 43

248:2x 2x 2x 31

752:2x 2x 2x 2x 47

527:17x 31

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 2x 2x 31 = 3968

Therefore, the value for common factors is 3968.

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 = 67618973696/(1x3968)

LCM = 67618973696/3968

LCM = 17041072

Thus, we can understand that the LCM of 688,248,752,527 is 17041072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 688, 248, 752, 527

1. What is the LCM of 688, 248, 752, 527?

Answer: LCM of 688, 248, 752, 527 is 17041072.

2. How to calculate the LCM of 688, 248, 752, 527?

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 688, 248, 752, 527.

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}.