Least Common Multiple of 626/44, 556/97, 837/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 626/44, 556/97, 837/749 quickly i.e. 145661436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 626/44, 556/97, 837/749 is 145661436.

LCM(626/44, 556/97, 837/749) = 145661436

LCM of 626/44, 556/97, 837/749

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 626/44,556/97,837/749

Given numbers are 626/44,556/97,837/749

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 626,556,837

Least Common Multiple of Numerators i.e. LCM of 626,556,837 is 145661436.

GCF of Denominators means GCF of 44,97,749 as per the given fractions.

GCF of 44,97,749 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 626,556,837

LCM of Fractions 626/44,556/97,837/749 is 145661436

2 626, 556, 837
313, 278, 837

∴ So the LCM of the given numbers is 2 x 313 x 278 x 837 = 145661436

Least Common Multiple of 626,556,837 with GCF Formula

Least Common Multiple of 626,556,837 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 626,556,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(626,556,837) = 1

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

GCF(626,556,837) x common factors =1 x 2 = 2

LCM(626,556,837) = ( 626 × 556 × 837 ) / 2

LCM(626,556,837) = 291322872 / 2

LCM(626,556,837) = 145661436


Lets's calculate GCF of 44,97,749

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145661436/1

Therefore the LCM of Fractions 626/44,556/97,837/749 is 145661436

Greatest Common Factor of 44,97,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,97,749 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 44,97,749 . The biggest common factor number is the GCF number.
So the greatest common factor 44,97,749 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 626/44, 556/97, 837/749

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 626/44, 556/97, 837/749?

Answer: LCM of Numerators as per given numbers 626/44, 556/97, 837/749 is

LCM of Numerators i.e. for 626,556,837 is 145661436

GCF of denominators i.e. for 44,97,749 is 1.

Thus, LCM of Fractions is 145661436.Finally, LCM of Fractions for 626/44, 556/97, 837/749 is 145661436.