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LCM of 713, 506, 276, 998

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


Find the LCM of 713, 506, 276, 998 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 713, 506, 276, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 713,506,276,998

Given numbers are 713,506,276,998

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

The LCM of 713,506,276,998 is 46963884.

Find LCM of 713,506,276,998 with Prime Factorization


2 713, 506, 276, 998
23 713, 253, 138, 499
31, 11, 6, 499

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

2 x 23 x 31 x 11 x 6 x 499 = 46963884

Therefore, the lowest common multiple of 713,506,276,998 is 46963884.

LCM Formula to Find Lowest Common Multiple of 713,506,276,998

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.

713 x 506 x 276 x 998 = 99375578544

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.

713 : 1, 23, 31, 713

506 : 1, 2, 11, 22, 23, 46, 253, 506

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,506,276,998, is 1.

Now, the common factors can be found like this.

713:23x 31

506:2x 11x 23

276:2x 2x 3x 23

998:2x 499

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 99375578544/(1x2116)

LCM = 99375578544/2116

LCM = 46963884

Thus, we can understand that the LCM of 713,506,276,998 is 46963884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 713, 506, 276, 998

1. What is the LCM of 713, 506, 276, 998?

Answer: LCM of 713, 506, 276, 998 is 46963884.

2. How to calculate the LCM of 713, 506, 276, 998?

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 713, 506, 276, 998.

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}.