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LCM of 769, 997, 296, 924, 980

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


Find the LCM of 769, 997, 296, 924, 980 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 769, 997, 296, 924, 980. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,997,296,924,980

Given numbers are 769,997,296,924,980

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

The LCM of 769,997,296,924,980 is 1834819019880.

Find LCM of 769,997,296,924,980 with Prime Factorization


2 769, 997, 296, 924, 980
2 769, 997, 148, 462, 490
7 769, 997, 74, 231, 245
769, 997, 74, 33, 35

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

2 x 2 x 7 x 769 x 997 x 74 x 33 x 35 = 1834819019880

Therefore, the lowest common multiple of 769,997,296,924,980 is 1834819019880.

LCM Formula to Find Lowest Common Multiple of 769,997,296,924,980

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.

769 x 997 x 296 x 924 x 980 = 205499730226560

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.

769 : 1, 769

997 : 1, 997

296 : 1, 2, 4, 8, 37, 74, 148, 296

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,997,296,924,980, is 1.

Now, the common factors can be found like this.

769:769

997:997

296:2x 2x 2x 37

924:2x 2x 3x 7x 11

980:2x 2x 5x 7x 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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 205499730226560/(1x112)

LCM = 205499730226560/112

LCM = 1834819019880

Thus, we can understand that the LCM of 769,997,296,924,980 is 1834819019880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 997, 296, 924, 980

1. What is the LCM of 769, 997, 296, 924, 980?

Answer: LCM of 769, 997, 296, 924, 980 is 1834819019880.

2. How to calculate the LCM of 769, 997, 296, 924, 980?

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 769, 997, 296, 924, 980.

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}.