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LCM of 978, 111, 748, 266

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


Find the LCM of 978, 111, 748, 266 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, 111, 748, 266. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,111,748,266

Given numbers are 978,111,748,266

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

The LCM of 978,111,748,266 is 1799964012.

Find LCM of 978,111,748,266 with Prime Factorization


2 978, 111, 748, 266
3 489, 111, 374, 133
163, 37, 374, 133

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

2 x 3 x 163 x 37 x 374 x 133 = 1799964012

Therefore, the lowest common multiple of 978,111,748,266 is 1799964012.

LCM Formula to Find Lowest Common Multiple of 978,111,748,266

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 111 x 748 x 266 = 21599568144

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

111 : 1, 3, 37, 111

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

266 : 1, 2, 7, 14, 19, 38, 133, 266

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,111,748,266, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

111:3x 37

748:2x 2x 11x 17

266:2x 7x 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 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 = 21599568144/(1x12)

LCM = 21599568144/12

LCM = 1799964012

Thus, we can understand that the LCM of 978,111,748,266 is 1799964012.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 111, 748, 266

1. What is the LCM of 978, 111, 748, 266?

Answer: LCM of 978, 111, 748, 266 is 1799964012.

2. How to calculate the LCM of 978, 111, 748, 266?

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, 111, 748, 266.

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}.