Least Common Multiple of 676/734, 7002/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 676/734, 7002/622 quickly i.e. 1183338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/734, 7002/622 is 1183338.

LCM(676/734, 7002/622) = 1183338

LCM of 676/734, 7002/622

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 676/734,7002/622

Given numbers are 676/734,7002/622

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 676,7002

Least Common Multiple of Numerators i.e. LCM of 676,7002 is 2366676.

GCF of Denominators means GCF of 734,622 as per the given fractions.

GCF of 734,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,7002

LCM of Fractions 676/734,7002/622 is 1183338

2 676, 7002
338, 3501

∴ So the LCM of the given numbers is 2 x 338 x 3501 = 2366676

Least Common Multiple of 676,7002 with GCF Formula

Least Common Multiple of 676,7002 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 676,7002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,7002) = 2

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

GCF(676,7002) x common factors =2 x 1 = 2

LCM(676,7002) = ( 676 × 7002 ) / 2

LCM(676,7002) = 4733352 / 2

LCM(676,7002) = 2366676


Lets's calculate GCF of 734,622

2 734, 622
367, 311

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2366676/2

Therefore the LCM of Fractions 676/734,7002/622 is 1183338

Greatest Common Factor of 734,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,622 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 734,622 . The biggest common factor number is the GCF number.
So the greatest common factor 734,622 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 676/734, 7002/622

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 676/734, 7002/622?

Answer: LCM of Numerators as per given numbers 676/734, 7002/622 is

LCM of Numerators i.e. for 676,7002 is 2366676

GCF of denominators i.e. for 734,622 is 2.

Thus, LCM of Fractions is 1183338.Finally, LCM of Fractions for 676/734, 7002/622 is 1183338.