Least Common Multiple of 262/91, 932/47, 614/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 262/91, 932/47, 614/71 quickly i.e. 37482244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 262/91, 932/47, 614/71 is 37482244.

LCM(262/91, 932/47, 614/71) = 37482244

LCM of 262/91, 932/47, 614/71

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 262/91,932/47,614/71

Given numbers are 262/91,932/47,614/71

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 262,932,614

Least Common Multiple of Numerators i.e. LCM of 262,932,614 is 37482244.

GCF of Denominators means GCF of 91,47,71 as per the given fractions.

GCF of 91,47,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 262,932,614

LCM of Fractions 262/91,932/47,614/71 is 37482244

2 262, 932, 614
131, 466, 307

∴ So the LCM of the given numbers is 2 x 131 x 466 x 307 = 37482244

Least Common Multiple of 262,932,614 with GCF Formula

Least Common Multiple of 262,932,614 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 262,932,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,932,614) = 2

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

GCF(262,932,614) x common factors =2 x 2 = 4

LCM(262,932,614) = ( 262 × 932 × 614 ) / 4

LCM(262,932,614) = 149928976 / 4

LCM(262,932,614) = 37482244


Lets's calculate GCF of 91,47,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37482244/1

Therefore the LCM of Fractions 262/91,932/47,614/71 is 37482244

Greatest Common Factor of 91,47,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,47,71 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 91,47,71 . The biggest common factor number is the GCF number.
So the greatest common factor 91,47,71 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 262/91, 932/47, 614/71

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 262/91, 932/47, 614/71?

Answer: LCM of Numerators as per given numbers 262/91, 932/47, 614/71 is

LCM of Numerators i.e. for 262,932,614 is 37482244

GCF of denominators i.e. for 91,47,71 is 1.

Thus, LCM of Fractions is 37482244.Finally, LCM of Fractions for 262/91, 932/47, 614/71 is 37482244.