Least Common Multiple of 49/379, 61/496, 122/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/379, 61/496, 122/836 quickly i.e. 5978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/379, 61/496, 122/836 is 5978.

LCM(49/379, 61/496, 122/836) = 5978

LCM of 49/379, 61/496, 122/836

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 49/379,61/496,122/836

Given numbers are 49/379,61/496,122/836

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 49,61,122

Least Common Multiple of Numerators i.e. LCM of 49,61,122 is 5978.

GCF of Denominators means GCF of 379,496,836 as per the given fractions.

GCF of 379,496,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,61,122

LCM of Fractions 49/379,61/496,122/836 is 5978

61 49, 61, 122
49, 1, 2

∴ So the LCM of the given numbers is 61 x 49 x 1 x 2 = 5978

Least Common Multiple of 49,61,122 with GCF Formula

Least Common Multiple of 49,61,122 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 49,61,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,61,122) = 1

common factors(in case of two or more numbers have common factors) = 61

GCF(49,61,122) x common factors =1 x 61 = 61

LCM(49,61,122) = ( 49 × 61 × 122 ) / 61

LCM(49,61,122) = 364658 / 61

LCM(49,61,122) = 5978


Lets's calculate GCF of 379,496,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5978/1

Therefore the LCM of Fractions 49/379,61/496,122/836 is 5978

Greatest Common Factor of 379,496,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,496,836 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 379,496,836 . The biggest common factor number is the GCF number.
So the greatest common factor 379,496,836 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 49/379, 61/496, 122/836

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 49/379, 61/496, 122/836?

Answer: LCM of Numerators as per given numbers 49/379, 61/496, 122/836 is

LCM of Numerators i.e. for 49,61,122 is 5978

GCF of denominators i.e. for 379,496,836 is 1.

Thus, LCM of Fractions is 5978.Finally, LCM of Fractions for 49/379, 61/496, 122/836 is 5978.