Least Common Multiple of 62/746, 41/340, 527/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/746, 41/340, 527/265 quickly i.e. 43214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/746, 41/340, 527/265 is 43214.

LCM(62/746, 41/340, 527/265) = 43214

LCM of 62/746, 41/340, 527/265

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 62/746,41/340,527/265

Given numbers are 62/746,41/340,527/265

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 62,41,527

Least Common Multiple of Numerators i.e. LCM of 62,41,527 is 43214.

GCF of Denominators means GCF of 746,340,265 as per the given fractions.

GCF of 746,340,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,41,527

LCM of Fractions 62/746,41/340,527/265 is 43214

31 62, 41, 527
2, 41, 17

∴ So the LCM of the given numbers is 31 x 2 x 41 x 17 = 43214

Least Common Multiple of 62,41,527 with GCF Formula

Least Common Multiple of 62,41,527 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 62,41,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,41,527) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(62,41,527) x common factors =1 x 31 = 31

LCM(62,41,527) = ( 62 × 41 × 527 ) / 31

LCM(62,41,527) = 1339634 / 31

LCM(62,41,527) = 43214


Lets's calculate GCF of 746,340,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43214/1

Therefore the LCM of Fractions 62/746,41/340,527/265 is 43214

Greatest Common Factor of 746,340,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 746,340,265 By Matching Biggest Common Factor Method

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 746,340,265 . The biggest common factor number is the GCF number.
So the greatest common factor 746,340,265 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/746, 41/340, 527/265

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 62/746, 41/340, 527/265?

Answer: LCM of Numerators as per given numbers 62/746, 41/340, 527/265 is

LCM of Numerators i.e. for 62,41,527 is 43214

GCF of denominators i.e. for 746,340,265 is 1.

Thus, LCM of Fractions is 43214.Finally, LCM of Fractions for 62/746, 41/340, 527/265 is 43214.