Least Common Multiple of 749/68, 4282/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 749/68, 4282/127 quickly i.e. 3207218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 749/68, 4282/127 is 3207218.

LCM(749/68, 4282/127) = 3207218

LCM of 749/68, 4282/127

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 749/68,4282/127

Given numbers are 749/68,4282/127

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 749,4282

Least Common Multiple of Numerators i.e. LCM of 749,4282 is 3207218.

GCF of Denominators means GCF of 68,127 as per the given fractions.

GCF of 68,127 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 749,4282

LCM of Fractions 749/68,4282/127 is 3207218

Given numbers has no common factors except 1. So, there LCM is their product i.e 3207218

Least Common Multiple of 749,4282 with GCF Formula

Least Common Multiple of 749,4282 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 749,4282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,4282) = 1

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

GCF(749,4282) x common factors =1 x 1 = 1

LCM(749,4282) = ( 749 × 4282 ) / 1

LCM(749,4282) = 3207218 / 1

LCM(749,4282) = 3207218


Lets's calculate GCF of 68,127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3207218/1

Therefore the LCM of Fractions 749/68,4282/127 is 3207218

Greatest Common Factor of 68,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,127 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1,127

Greatest Common Factor

We found the factors 68,127 . The biggest common factor number is the GCF number.
So the greatest common factor 68,127 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 749/68, 4282/127

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 749/68, 4282/127?

Answer: LCM of Numerators as per given numbers 749/68, 4282/127 is

LCM of Numerators i.e. for 749,4282 is 3207218

GCF of denominators i.e. for 68,127 is 1.

Thus, LCM of Fractions is 3207218.Finally, LCM of Fractions for 749/68, 4282/127 is 3207218.