LCM for 10 and 385

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 385?

Answer

LCM of 10 and 385 is 770

(Seven hundred seventy)

Finding LCM for 10 and 385 using GCF of these numbers

The first method to find LCM for numbers 10 and 385 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 385 is 5, so

LCM = (10 × 385) ÷ 5

LCM = 3850 ÷ 5

LCM = 770

Finding LCM for 10 and 385 by Listing Multiples

The second method to find LCM for numbers 10 and 385 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650, 660, 670, 680, 690, 700, 710, 720, 730, 740, 750, 760, 770, 780, 790

Multiples of 385: 385, 770, 1155, 1540

So the LCM for 10 and 385 is 770

Finding LCM for 10 and 385 by Prime Factorization

Another method to find LCM for numbers 10 and 385 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

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

21 × 51 × 71 × 111 = 770

Related Calculations

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 10 and 385? (The answer is: 770). Select the first number (e.g. '10') 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
1385385
2385770
33851155
43851540
5385385
63852310
7385385
83853080
93853465
10385770
11385385
123854620
133855005
14385770
153851155
163856160
173856545
183856930
193857315
203851540
213851155
22385770
233858855
243859240
253851925
2638510010
2738510395
283851540
2938511165
303852310

FAQ

What's the Least Common Multiple (LCM) of 10 and 385?

LCM of 10 and 385 is 770

How to find the LCM of 10 and 385 using prime factorization?

To find the LCM of 10 and 385, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 770.

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 10 and 385: LCM = 770, GCF = 5.

See Also