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LCM of 711, 145, 652, 248

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


Find the LCM of 711, 145, 652, 248 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 711, 145, 652, 248. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 711,145,652,248

Given numbers are 711,145,652,248

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

The LCM of 711,145,652,248 is 4167512280.

Find LCM of 711,145,652,248 with Prime Factorization


2 711, 145, 652, 248
2 711, 145, 326, 124
711, 145, 163, 62

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

2 x 2 x 711 x 145 x 163 x 62 = 4167512280

Therefore, the lowest common multiple of 711,145,652,248 is 4167512280.

LCM Formula to Find Lowest Common Multiple of 711,145,652,248

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.

711 x 145 x 652 x 248 = 16670049120

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.

711 : 1, 3, 9, 79, 237, 711

145 : 1, 5, 29, 145

652 : 1, 2, 4, 163, 326, 652

248 : 1, 2, 4, 8, 31, 62, 124, 248

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,145,652,248, is 1.

Now, the common factors can be found like this.

711:3x 3x 79

145:5x 29

652:2x 2x 163

248:2x 2x 2x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 16670049120/(1x4)

LCM = 16670049120/4

LCM = 4167512280

Thus, we can understand that the LCM of 711,145,652,248 is 4167512280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 711, 145, 652, 248

1. What is the LCM of 711, 145, 652, 248?

Answer: LCM of 711, 145, 652, 248 is 4167512280.

2. How to calculate the LCM of 711, 145, 652, 248?

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 711, 145, 652, 248.

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}.