LCM for 10 and 355

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 355?

Answer

LCM of 10 and 355 is 710

(Seven hundred ten)

Finding LCM for 10 and 355 using GCF of these numbers

The first method to find LCM for numbers 10 and 355 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 355 is 5, so

LCM = (10 × 355) ÷ 5

LCM = 3550 ÷ 5

LCM = 710

Finding LCM for 10 and 355 by Listing Multiples

The second method to find LCM for numbers 10 and 355 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

Multiples of 355: 355, 710, 1065, 1420

So the LCM for 10 and 355 is 710

Finding LCM for 10 and 355 by Prime Factorization

Another method to find LCM for numbers 10 and 355 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 355: 5, 71 (exponent form: 51, 711)

21 × 51 × 711 = 710

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 355? (The answer is: 710). Select the first number (e.g. '10') and the second number (e.g. '355'). 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
1355355
2355710
33551065
43551420
5355355
63552130
73552485
83552840
93553195
10355710
113553905
123554260
133554615
143554970
153551065
163555680
173556035
183556390
193556745
203551420
213557455
223557810
233558165
243558520
253551775
263559230
273559585
283559940
2935510295
303552130

FAQ

What's the Least Common Multiple (LCM) of 10 and 355?

LCM of 10 and 355 is 710

How to find the LCM of 10 and 355 using prime factorization?

To find the LCM of 10 and 355, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 710.

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 355: LCM = 710, GCF = 5.

See Also