LCM of 988, 916, 749, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 916, 749, 312 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 988, 916, 749, 312. So, keep reading to learn more.
Given numbers are 988,916,749,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,916,749,312 is 1016776488.
Find LCM of 988,916,749,312 with Prime Factorization
| 2 | 988, 916, 749, 312 |
| 2 | 494, 458, 749, 156 |
| 13 | 247, 229, 749, 78 |
| 19, 229, 749, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 19 x 229 x 749 x 6 = 1016776488
Therefore, the lowest common multiple of 988,916,749,312 is 1016776488.
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.
988 x 916 x 749 x 312 = 211489509504
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
916 : 1, 2, 4, 229, 458, 916
749 : 1, 7, 107, 749
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,916,749,312, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
916:2x 2x 229
749:7x 107
312:2x 2x 2x 3x 13
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 13 = 208
Therefore, the value for common factors is 208.
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 = 211489509504/(1x208)
LCM = 211489509504/208
LCM = 1016776488
Thus, we can understand that the LCM of 988,916,749,312 is 1016776488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 916, 749, 312
1. What is the LCM of 988, 916, 749, 312?
Answer: LCM of 988, 916, 749, 312 is 1016776488.
2. How to calculate the LCM of 988, 916, 749, 312?
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 988, 916, 749, 312.
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}.