LCM for 100 and 385

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 100 and 385?

Answer

LCM of 100 and 385 is 7,700

(Seven thousand, seven hundred)

Finding LCM for 100 and 385 using GCF of these numbers

The first method to find LCM for numbers 100 and 385 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 100 and 385 is 5, so

LCM = (100 × 385) ÷ 5

LCM = 38500 ÷ 5

LCM = 7700

Finding LCM for 100 and 385 by Listing Multiples

The second method to find LCM for numbers 100 and 385 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300, 2400, 2500, 2600, 2700, 2800, 2900, 3000, 3100, 3200, 3300, 3400, 3500, 3600, 3700, 3800, 3900, 4000, 4100, 4200, 4300, 4400, 4500, 4600, 4700, 4800, 4900, 5000, 5100, 5200, 5300, 5400, 5500, 5600, 5700, 5800, 5900, 6000, 6100, 6200, 6300, 6400, 6500, 6600, 6700, 6800, 6900, 7000, 7100, 7200, 7300, 7400, 7500, 7600, 7700, 7800, 7900

Multiples of 385: 385, 770, 1155, 1540, 1925, 2310, 2695, 3080, 3465, 3850, 4235, 4620, 5005, 5390, 5775, 6160, 6545, 6930, 7315, 7700, 8085, 8470

So the LCM for 100 and 385 is 7700

Finding LCM for 100 and 385 by Prime Factorization

Another method to find LCM for numbers 100 and 385 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

All Prime Factors of 385: 5, 7, 11 (exponent form: 51, 71, 111)

22 × 52 × 71 × 111 = 7700

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 100 and 385? (The answer is: 7700). Select the first number (e.g. '100') and the second number (e.g. '385'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
853856545
8638533110
8738533495
883853080
8938534265
903856930
913855005
9238535420
9338535805
9438536190
953857315
9638536960
9738537345
983855390
993853465
1003857700
10138538885
10238539270
10338539655
10438540040
1053851155
10638540810
10738541195
10838541580
10938541965
110385770
11138542735
1123856160
11338543505
11438543890

FAQ

What's the Least Common Multiple (LCM) of 100 and 385?

LCM of 100 and 385 is 7,700

How to find the LCM of 100 and 385 using prime factorization?

To find the LCM of 100 and 385, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 7,700.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 100 and 385: LCM = 7,700, GCF = 5.

See Also