Given numbers are 920,902,346,694,746

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

The LCM of 920,902,346,694,746 is 9290707319960.

Find LCM of 920,902,346,694,746 with Prime Factorization

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

2 x 460 x 451 x 173 x 347 x 373 = 9290707319960

Therefore, the lowest common multiple of 920,902,346,694,746 is 9290707319960.

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.

920 x 902 x 346 x 694 x 746 = 148651317119360

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

902 : 1, 2, 11, 22, 41, 82, 451, 902

346 : 1, 2, 173, 346

694 : 1, 2, 347, 694

746 : 1, 2, 373, 746

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,902,346,694,746, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

902:2x 11x 41

346:2x 173

694:2x 347

746:2x 373

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 2 = 8

Therefore, the value for common factors is 8.

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 = 148651317119360/(2x8)

LCM = 148651317119360/16

LCM = 9290707319960

Thus, we can understand that the LCM of 920,902,346,694,746 is 9290707319960.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 514, 534, 996, 690, 292
• LCM of 510, 729, 425, 146, 760
• LCM of 738, 931, 453, 942, 212
• LCM of 579, 827, 517, 487, 594
• LCM of 278, 240, 405, 447, 873

1. What is the LCM of 920, 902, 346, 694, 746?

Answer: LCM of 920, 902, 346, 694, 746 is 9290707319960.

2. How to calculate the LCM of 920, 902, 346, 694, 746?

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 920, 902, 346, 694, 746.

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}.