LCM for 60 and 245

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 245?

Answer

LCM of 60 and 245 is 2,940

(Two thousand, nine hundred forty)

Finding LCM for 60 and 245 using GCF of these numbers

The first method to find LCM for numbers 60 and 245 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 245 is 5, so

LCM = (60 × 245) ÷ 5

LCM = 14700 ÷ 5

LCM = 2940

Finding LCM for 60 and 245 by Listing Multiples

The second method to find LCM for numbers 60 and 245 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260, 1320, 1380, 1440, 1500, 1560, 1620, 1680, 1740, 1800, 1860, 1920, 1980, 2040, 2100, 2160, 2220, 2280, 2340, 2400, 2460, 2520, 2580, 2640, 2700, 2760, 2820, 2880, 2940, 3000, 3060

Multiples of 245: 245, 490, 735, 980, 1225, 1470, 1715, 1960, 2205, 2450, 2695, 2940, 3185, 3430

So the LCM for 60 and 245 is 2940

Finding LCM for 60 and 245 by Prime Factorization

Another method to find LCM for numbers 60 and 245 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

All Prime Factors of 245: 5, 7, 7 (exponent form: 51, 72)

22 × 31 × 51 × 72 = 2940

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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 60 and 245? (The answer is: 2940). Select the first number (e.g. '60') and the second number (e.g. '245'). 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
452452205
4624511270
4724511515
4824511760
49245245
502452450
5124512495
5224512740
5324512985
5424513230
552452695
562451960
5724513965
5824514210
5924514455
602452940
6124514945
6224515190
632452205
6424515680
652453185
6624516170
6724516415
6824516660
6924516905
70245490
7124517395
7224517640
7324517885
7424518130

FAQ

What's the Least Common Multiple (LCM) of 60 and 245?

LCM of 60 and 245 is 2,940

How to find the LCM of 60 and 245 using prime factorization?

To find the LCM of 60 and 245, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,940.

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 60 and 245: LCM = 2,940, GCF = 5.

See Also