Least Common Multiple of 48/99, 520/78, 208/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/99, 520/78, 208/226 quickly i.e. 3120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/99, 520/78, 208/226 is 3120.

LCM(48/99, 520/78, 208/226) = 3120

LCM of 48/99, 520/78, 208/226

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 48/99,520/78,208/226

Given numbers are 48/99,520/78,208/226

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 48,520,208

Least Common Multiple of Numerators i.e. LCM of 48,520,208 is 3120.

GCF of Denominators means GCF of 99,78,226 as per the given fractions.

GCF of 99,78,226 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,520,208

LCM of Fractions 48/99,520/78,208/226 is 3120

2 48, 520, 208
2 24, 260, 104
2 12, 130, 52
2 6, 65, 26
13 3, 65, 13
3, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 13 x 3 x 5 x 1 = 3120

Least Common Multiple of 48,520,208 with GCF Formula

Least Common Multiple of 48,520,208 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 48,520,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,520,208) = 8

common factors(in case of two or more numbers have common factors) = 208

GCF(48,520,208) x common factors =8 x 208 = 1664

LCM(48,520,208) = ( 48 × 520 × 208 ) / 1664

LCM(48,520,208) = 5191680 / 1664

LCM(48,520,208) = 3120


Lets's calculate GCF of 99,78,226

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/1

Therefore the LCM of Fractions 48/99,520/78,208/226 is 3120

Greatest Common Factor of 99,78,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,78,226 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 99,78,226 . The biggest common factor number is the GCF number.
So the greatest common factor 99,78,226 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 48/99, 520/78, 208/226

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 48/99, 520/78, 208/226?

Answer: LCM of Numerators as per given numbers 48/99, 520/78, 208/226 is

LCM of Numerators i.e. for 48,520,208 is 3120

GCF of denominators i.e. for 99,78,226 is 1.

Thus, LCM of Fractions is 3120.Finally, LCM of Fractions for 48/99, 520/78, 208/226 is 3120.