What is the LCM of 56 and 308?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 56 and 308?

Answer: LCM of 56 and 308 is 616

(Six hundred sixteen)

Finding LCM for 56 and 308 using GCF's of these numbers

The first method to find LCM for numbers 56 and 308 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 56 and 308 is 28, so

LCM = (56 × 308) ÷ 28

LCM = 17248 ÷ 28

LCM = 616

Finding LCM for 56 and 308 by Listing Multiples

The second method to find LCM for numbers 56 and 308 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728

Multiples of 308: 308, 616, 924, 1232

So the LCM for 56 and 308 is 616

Finding LCM for 56 and 308 by Prime Factorization

Another method to find LCM for numbers 56 and 308 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 2³, 7¹)

All Prime Factors of 308: 2, 2, 7, 11 (exponent form: 2², 7¹, 11¹)

2³ × 7¹ × 11¹ = 616

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 56 and 308? (The answer is: 616). Select the first number (e.g. '56') and the second number (e.g. '308'). 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

LCM Table

Number 1	Number 2	LCM
41	308	12628
42	308	924
43	308	13244
44	308	308
45	308	13860
46	308	7084
47	308	14476
48	308	3696
49	308	2156
50	308	7700
51	308	15708
52	308	4004
53	308	16324
54	308	8316
55	308	1540
56	308	616
57	308	17556
58	308	8932
59	308	18172
60	308	4620
61	308	18788
62	308	9548
63	308	2772
64	308	4928
65	308	20020
66	308	924
67	308	20636
68	308	5236
69	308	21252
70	308	1540

LCM for 56 and 308

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 56 and 308?

Finding LCM for 56 and 308 using GCF's of these numbers

Finding LCM for 56 and 308 by Listing Multiples

Finding LCM for 56 and 308 by Prime Factorization

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 56 and 308?

See Also