LCM for 10 and 235

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 235?

Answer

LCM of 10 and 235 is 470

(Four hundred seventy)

Finding LCM for 10 and 235 using GCF of these numbers

The first method to find LCM for numbers 10 and 235 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 235 is 5, so

LCM = (10 × 235) ÷ 5

LCM = 2350 ÷ 5

LCM = 470

Finding LCM for 10 and 235 by Listing Multiples

The second method to find LCM for numbers 10 and 235 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

Multiples of 235: 235, 470, 705, 940

So the LCM for 10 and 235 is 470

Finding LCM for 10 and 235 by Prime Factorization

Another method to find LCM for numbers 10 and 235 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 235: 5, 47 (exponent form: 51, 471)

21 × 51 × 471 = 470

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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 235? (The answer is: 470). Select the first number (e.g. '10') and the second number (e.g. '235'). 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
1235235
2235470
3235705
4235940
5235235
62351410
72351645
82351880
92352115
10235470
112352585
122352820
132353055
142353290
15235705
162353760
172353995
182354230
192354465
20235940
212354935
222355170
232355405
242355640
252351175
262356110
272356345
282356580
292356815
302351410

FAQ

What's the Least Common Multiple (LCM) of 10 and 235?

LCM of 10 and 235 is 470

How to find the LCM of 10 and 235 using prime factorization?

To find the LCM of 10 and 235, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 470.

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 235: LCM = 470, GCF = 5.

See Also