Least Common Multiple of 60/614, 3493/4888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 60/614, 3493/4888 quickly i.e. 104790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/614, 3493/4888 is 104790.

LCM(60/614, 3493/4888) = 104790

LCM of 60/614, 3493/4888

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 60/614,3493/4888

Given numbers are 60/614,3493/4888

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 60,3493

Least Common Multiple of Numerators i.e. LCM of 60,3493 is 209580.

GCF of Denominators means GCF of 614,4888 as per the given fractions.

GCF of 614,4888 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,3493

LCM of Fractions 60/614,3493/4888 is 104790

Given numbers has no common factors except 1. So, there LCM is their product i.e 209580

Least Common Multiple of 60,3493 with GCF Formula

Least Common Multiple of 60,3493 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 60,3493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,3493) = 1

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

GCF(60,3493) x common factors =1 x 1 = 1

LCM(60,3493) = ( 60 × 3493 ) / 1

LCM(60,3493) = 209580 / 1

LCM(60,3493) = 209580


Lets's calculate GCF of 614,4888

2 614, 4888
307, 2444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209580/2

Therefore the LCM of Fractions 60/614,3493/4888 is 104790

Greatest Common Factor of 614,4888 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,4888 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 4888

List of positive integer factors of 4888 that divides 4888 without a remainder.

1,2,4,8,13,26,47,52,94,104,188,376,611,1222,2444,4888

Greatest Common Factor

We found the factors 614,4888 . The biggest common factor number is the GCF number.
So the greatest common factor 614,4888 is 2.


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Frequently Asked Questions on Fractional LCM of 60/614, 3493/4888

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 60/614, 3493/4888?

Answer: LCM of Numerators as per given numbers 60/614, 3493/4888 is

LCM of Numerators i.e. for 60,3493 is 209580

GCF of denominators i.e. for 614,4888 is 2.

Thus, LCM of Fractions is 104790.Finally, LCM of Fractions for 60/614, 3493/4888 is 104790.