Least Common Multiple of 349/25, 921/62, 796/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 349/25, 921/62, 796/766 quickly i.e. 255857484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 349/25, 921/62, 796/766 is 255857484.

LCM(349/25, 921/62, 796/766) = 255857484

LCM of 349/25, 921/62, 796/766

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 349/25,921/62,796/766

Given numbers are 349/25,921/62,796/766

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 349,921,796

Least Common Multiple of Numerators i.e. LCM of 349,921,796 is 255857484.

GCF of Denominators means GCF of 25,62,766 as per the given fractions.

GCF of 25,62,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 349,921,796

LCM of Fractions 349/25,921/62,796/766 is 255857484

Given numbers has no common factors except 1. So, there LCM is their product i.e 255857484

Least Common Multiple of 349,921,796 with GCF Formula

Least Common Multiple of 349,921,796 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 349,921,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,921,796) = 1

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

GCF(349,921,796) x common factors =1 x 1 = 1

LCM(349,921,796) = ( 349 × 921 × 796 ) / 1

LCM(349,921,796) = 255857484 / 1

LCM(349,921,796) = 255857484


Lets's calculate GCF of 25,62,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255857484/1

Therefore the LCM of Fractions 349/25,921/62,796/766 is 255857484

Greatest Common Factor of 25,62,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,62,766 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 25,62,766 . The biggest common factor number is the GCF number.
So the greatest common factor 25,62,766 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 349/25, 921/62, 796/766

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 349/25, 921/62, 796/766?

Answer: LCM of Numerators as per given numbers 349/25, 921/62, 796/766 is

LCM of Numerators i.e. for 349,921,796 is 255857484

GCF of denominators i.e. for 25,62,766 is 1.

Thus, LCM of Fractions is 255857484.Finally, LCM of Fractions for 349/25, 921/62, 796/766 is 255857484.