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LCM of 651, 772, 101, 118, 248

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


Find the LCM of 651, 772, 101, 118, 248 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 651, 772, 101, 118, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 651,772,101,118,248

Given numbers are 651,772,101,118,248

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

The LCM of 651,772,101,118,248 is 5989653096.

Find LCM of 651,772,101,118,248 with Prime Factorization


2 651, 772, 101, 118, 248
2 651, 386, 101, 59, 124
31 651, 193, 101, 59, 62
21, 193, 101, 59, 2

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

2 x 2 x 31 x 21 x 193 x 101 x 59 x 2 = 5989653096

Therefore, the lowest common multiple of 651,772,101,118,248 is 5989653096.

LCM Formula to Find Lowest Common Multiple of 651,772,101,118,248

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.

651 x 772 x 101 x 118 x 248 = 1485433967808

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.

651 : 1, 3, 7, 21, 31, 93, 217, 651

772 : 1, 2, 4, 193, 386, 772

101 : 1, 101

118 : 1, 2, 59, 118

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,772,101,118,248, is 1.

Now, the common factors can be found like this.

651:3x 7x 31

772:2x 2x 193

101:101

118:2x 59

248:2x 2x 2x 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 31 = 248

Therefore, the value for common factors is 248.

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 = 1485433967808/(1x248)

LCM = 1485433967808/248

LCM = 5989653096

Thus, we can understand that the LCM of 651,772,101,118,248 is 5989653096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 651, 772, 101, 118, 248

1. What is the LCM of 651, 772, 101, 118, 248?

Answer: LCM of 651, 772, 101, 118, 248 is 5989653096.

2. How to calculate the LCM of 651, 772, 101, 118, 248?

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 651, 772, 101, 118, 248.

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}.