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LCM of 246, 377, 942, 798, 931

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


Find the LCM of 246, 377, 942, 798, 931 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 246, 377, 942, 798, 931. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 246,377,942,798,931

Given numbers are 246,377,942,798,931

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

The LCM of 246,377,942,798,931 is 13555819914.

Find LCM of 246,377,942,798,931 with Prime Factorization


2 246, 377, 942, 798, 931
3 123, 377, 471, 399, 931
7 41, 377, 157, 133, 931
19 41, 377, 157, 19, 133
41, 377, 157, 1, 7

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

2 x 3 x 7 x 19 x 41 x 377 x 157 x 1 x 7 = 13555819914

Therefore, the lowest common multiple of 246,377,942,798,931 is 13555819914.

LCM Formula to Find Lowest Common Multiple of 246,377,942,798,931

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.

246 x 377 x 942 x 798 x 931 = 64905265748232

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

377 : 1, 13, 29, 377

942 : 1, 2, 3, 6, 157, 314, 471, 942

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

931 : 1, 7, 19, 49, 133, 931

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,377,942,798,931, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

377:13x 29

942:2x 3x 157

798:2x 3x 7x 19

931:7x 7x 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 3x 3x 7x 19 = 4788

Therefore, the value for common factors is 4788.

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 = 64905265748232/(1x4788)

LCM = 64905265748232/4788

LCM = 13555819914

Thus, we can understand that the LCM of 246,377,942,798,931 is 13555819914.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 246, 377, 942, 798, 931

1. What is the LCM of 246, 377, 942, 798, 931?

Answer: LCM of 246, 377, 942, 798, 931 is 13555819914.

2. How to calculate the LCM of 246, 377, 942, 798, 931?

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 246, 377, 942, 798, 931.

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}.