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LCM of 969, 756, 436, 988

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


Find the LCM of 969, 756, 436, 988 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 969, 756, 436, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,756,436,988

Given numbers are 969,756,436,988

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

The LCM of 969,756,436,988 is 346014396.

Find LCM of 969,756,436,988 with Prime Factorization


2 969, 756, 436, 988
2 969, 378, 218, 494
3 969, 189, 109, 247
19 323, 63, 109, 247
17, 63, 109, 13

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

2 x 2 x 3 x 19 x 17 x 63 x 109 x 13 = 346014396

Therefore, the lowest common multiple of 969,756,436,988 is 346014396.

LCM Formula to Find Lowest Common Multiple of 969,756,436,988

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.

969 x 756 x 436 x 988 = 315565129152

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

436 : 1, 2, 4, 109, 218, 436

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,756,436,988, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

756:2x 2x 3x 3x 3x 7

436:2x 2x 109

988:2x 2x 13x 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 2x 2x 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 315565129152/(1x912)

LCM = 315565129152/912

LCM = 346014396

Thus, we can understand that the LCM of 969,756,436,988 is 346014396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 756, 436, 988

1. What is the LCM of 969, 756, 436, 988?

Answer: LCM of 969, 756, 436, 988 is 346014396.

2. How to calculate the LCM of 969, 756, 436, 988?

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 969, 756, 436, 988.

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}.