Least Common Multiple of 520/67, 248/8308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 520/67, 248/8308 quickly i.e. 16120/67 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/67, 248/8308 is 16120/67.

LCM(520/67, 248/8308) = 16120/67

LCM of 520/67, 248/8308

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 520/67,248/8308

Given numbers are 520/67,248/8308

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 520,248

Least Common Multiple of Numerators i.e. LCM of 520,248 is 16120.

GCF of Denominators means GCF of 67,8308 as per the given fractions.

GCF of 67,8308 is 67 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,248

LCM of Fractions 520/67,248/8308 is 16120/67

2 520, 248
2 260, 124
2 130, 62
65, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 31 = 16120

Least Common Multiple of 520,248 with GCF Formula

Least Common Multiple of 520,248 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 520,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,248) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(520,248) x common factors =8 x 1 = 8

LCM(520,248) = ( 520 × 248 ) / 8

LCM(520,248) = 128960 / 8

LCM(520,248) = 16120


Lets's calculate GCF of 67,8308

67 67, 8308
1, 124

∴ So the GCF of the given numbers is 67 = 67

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16120/67

Therefore the LCM of Fractions 520/67,248/8308 is 16120/67

Greatest Common Factor of 67,8308 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,8308 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 8308

List of positive integer factors of 8308 that divides 8308 without a remainder.

1,2,4,31,62,67,124,134,268,2077,4154,8308

Greatest Common Factor

We found the factors 67,8308 . The biggest common factor number is the GCF number.
So the greatest common factor 67,8308 is 67.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 520/67, 248/8308

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 520/67, 248/8308?

Answer: LCM of Numerators as per given numbers 520/67, 248/8308 is

LCM of Numerators i.e. for 520,248 is 16120

GCF of denominators i.e. for 67,8308 is 67.

Thus, LCM of Fractions is 16120/67.Finally, LCM of Fractions for 520/67, 248/8308 is 16120/67.