Least Common Multiple of 58/262, 49/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/262, 49/102 quickly i.e. 1421 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/262, 49/102 is 1421.

LCM(58/262, 49/102) = 1421

LCM of 58/262, 49/102

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 58/262,49/102

Given numbers are 58/262,49/102

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 58,49

Least Common Multiple of Numerators i.e. LCM of 58,49 is 2842.

GCF of Denominators means GCF of 262,102 as per the given fractions.

GCF of 262,102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,49

LCM of Fractions 58/262,49/102 is 1421

Given numbers has no common factors except 1. So, there LCM is their product i.e 2842

Least Common Multiple of 58,49 with GCF Formula

Least Common Multiple of 58,49 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 58,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,49) = 1

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

GCF(58,49) x common factors =1 x 1 = 1

LCM(58,49) = ( 58 × 49 ) / 1

LCM(58,49) = 2842 / 1

LCM(58,49) = 2842


Lets's calculate GCF of 262,102

2 262, 102
131, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2842/2

Therefore the LCM of Fractions 58/262,49/102 is 1421

Greatest Common Factor of 262,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,102 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 262,102 . The biggest common factor number is the GCF number.
So the greatest common factor 262,102 is 2.


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 58/262, 49/102

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 58/262, 49/102?

Answer: LCM of Numerators as per given numbers 58/262, 49/102 is

LCM of Numerators i.e. for 58,49 is 2842

GCF of denominators i.e. for 262,102 is 2.

Thus, LCM of Fractions is 1421.Finally, LCM of Fractions for 58/262, 49/102 is 1421.