Least Common Multiple of 88/526, 41/826, 146/283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 88/526, 41/826, 146/283 quickly i.e. 263384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 88/526, 41/826, 146/283 is 263384.

LCM(88/526, 41/826, 146/283) = 263384

LCM of 88/526, 41/826, 146/283

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 88/526,41/826,146/283

Given numbers are 88/526,41/826,146/283

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 88,41,146

Least Common Multiple of Numerators i.e. LCM of 88,41,146 is 263384.

GCF of Denominators means GCF of 526,826,283 as per the given fractions.

GCF of 526,826,283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 88,41,146

LCM of Fractions 88/526,41/826,146/283 is 263384

2 88, 41, 146
44, 41, 73

∴ So the LCM of the given numbers is 2 x 44 x 41 x 73 = 263384

Least Common Multiple of 88,41,146 with GCF Formula

Least Common Multiple of 88,41,146 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 88,41,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,41,146) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(88,41,146) x common factors =1 x 2 = 2

LCM(88,41,146) = ( 88 × 41 × 146 ) / 2

LCM(88,41,146) = 526768 / 2

LCM(88,41,146) = 263384


Lets's calculate GCF of 526,826,283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263384/1

Therefore the LCM of Fractions 88/526,41/826,146/283 is 263384

Greatest Common Factor of 526,826,283 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,826,283 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Greatest Common Factor

We found the factors 526,826,283 . The biggest common factor number is the GCF number.
So the greatest common factor 526,826,283 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 88/526, 41/826, 146/283

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 88/526, 41/826, 146/283?

Answer: LCM of Numerators as per given numbers 88/526, 41/826, 146/283 is

LCM of Numerators i.e. for 88,41,146 is 263384

GCF of denominators i.e. for 526,826,283 is 1.

Thus, LCM of Fractions is 263384.Finally, LCM of Fractions for 88/526, 41/826, 146/283 is 263384.