Least Common Multiple of 734/21, 395/98, 107/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 734/21, 395/98, 107/934 quickly i.e. 31022510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 734/21, 395/98, 107/934 is 31022510.

LCM(734/21, 395/98, 107/934) = 31022510

LCM of 734/21, 395/98, 107/934

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 734/21,395/98,107/934

Given numbers are 734/21,395/98,107/934

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 734,395,107

Least Common Multiple of Numerators i.e. LCM of 734,395,107 is 31022510.

GCF of Denominators means GCF of 21,98,934 as per the given fractions.

GCF of 21,98,934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 734,395,107

LCM of Fractions 734/21,395/98,107/934 is 31022510

Given numbers has no common factors except 1. So, there LCM is their product i.e 31022510

Least Common Multiple of 734,395,107 with GCF Formula

Least Common Multiple of 734,395,107 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 734,395,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,395,107) = 1

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

GCF(734,395,107) x common factors =1 x 1 = 1

LCM(734,395,107) = ( 734 × 395 × 107 ) / 1

LCM(734,395,107) = 31022510 / 1

LCM(734,395,107) = 31022510


Lets's calculate GCF of 21,98,934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31022510/1

Therefore the LCM of Fractions 734/21,395/98,107/934 is 31022510

Greatest Common Factor of 21,98,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,98,934 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 21,98,934 . The biggest common factor number is the GCF number.
So the greatest common factor 21,98,934 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 734/21, 395/98, 107/934

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 734/21, 395/98, 107/934?

Answer: LCM of Numerators as per given numbers 734/21, 395/98, 107/934 is

LCM of Numerators i.e. for 734,395,107 is 31022510

GCF of denominators i.e. for 21,98,934 is 1.

Thus, LCM of Fractions is 31022510.Finally, LCM of Fractions for 734/21, 395/98, 107/934 is 31022510.