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LCM of 248, 751, 727, 274, 840

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


Find the LCM of 248, 751, 727, 274, 840 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 248, 751, 727, 274, 840. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 248,751,727,274,840

Given numbers are 248,751,727,274,840

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

The LCM of 248,751,727,274,840 is 1947762027960.

Find LCM of 248,751,727,274,840 with Prime Factorization


2 248, 751, 727, 274, 840
2 124, 751, 727, 137, 420
2 62, 751, 727, 137, 210
31, 751, 727, 137, 105

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

2 x 2 x 2 x 31 x 751 x 727 x 137 x 105 = 1947762027960

Therefore, the lowest common multiple of 248,751,727,274,840 is 1947762027960.

LCM Formula to Find Lowest Common Multiple of 248,751,727,274,840

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.

248 x 751 x 727 x 274 x 840 = 31164192447360

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.

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

751 : 1, 751

727 : 1, 727

274 : 1, 2, 137, 274

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,751,727,274,840, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

751:751

727:727

274:2x 137

840:2x 2x 2x 3x 5x 7

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 = 31164192447360/(1x16)

LCM = 31164192447360/16

LCM = 1947762027960

Thus, we can understand that the LCM of 248,751,727,274,840 is 1947762027960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 248, 751, 727, 274, 840

1. What is the LCM of 248, 751, 727, 274, 840?

Answer: LCM of 248, 751, 727, 274, 840 is 1947762027960.

2. How to calculate the LCM of 248, 751, 727, 274, 840?

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 248, 751, 727, 274, 840.

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}.