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LCM of 978, 247, 402, 998

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


Find the LCM of 978, 247, 402, 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 978, 247, 402, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,247,402,998

Given numbers are 978,247,402,998

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

The LCM of 978,247,402,998 is 8076276078.

Find LCM of 978,247,402,998 with Prime Factorization


2 978, 247, 402, 998
3 489, 247, 201, 499
163, 247, 67, 499

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

2 x 3 x 163 x 247 x 67 x 499 = 8076276078

Therefore, the lowest common multiple of 978,247,402,998 is 8076276078.

LCM Formula to Find Lowest Common Multiple of 978,247,402,998

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.

978 x 247 x 402 x 998 = 96915312936

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.

978 : 1, 2, 3, 6, 163, 326, 489, 978

247 : 1, 13, 19, 247

402 : 1, 2, 3, 6, 67, 134, 201, 402

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,247,402,998, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

247:13x 19

402:2x 3x 67

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 3 = 12

Therefore, the value for common factors is 12.

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 = 96915312936/(1x12)

LCM = 96915312936/12

LCM = 8076276078

Thus, we can understand that the LCM of 978,247,402,998 is 8076276078.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 247, 402, 998

1. What is the LCM of 978, 247, 402, 998?

Answer: LCM of 978, 247, 402, 998 is 8076276078.

2. How to calculate the LCM of 978, 247, 402, 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 978, 247, 402, 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}.