Least Common Multiple of 60/374, 4648/6206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/374, 4648/6206 quickly i.e. 34860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/374, 4648/6206 is 34860.

LCM(60/374, 4648/6206) = 34860

LCM of 60/374, 4648/6206

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 60/374,4648/6206

Given numbers are 60/374,4648/6206

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 60,4648

Least Common Multiple of Numerators i.e. LCM of 60,4648 is 69720.

GCF of Denominators means GCF of 374,6206 as per the given fractions.

GCF of 374,6206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,4648

LCM of Fractions 60/374,4648/6206 is 34860

2 60, 4648
2 30, 2324
15, 1162

∴ So the LCM of the given numbers is 2 x 2 x 15 x 1162 = 69720

Least Common Multiple of 60,4648 with GCF Formula

Least Common Multiple of 60,4648 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 60,4648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,4648) = 4

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

GCF(60,4648) x common factors =4 x 1 = 4

LCM(60,4648) = ( 60 × 4648 ) / 4

LCM(60,4648) = 278880 / 4

LCM(60,4648) = 69720


Lets's calculate GCF of 374,6206

2 374, 6206
187, 3103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69720/2

Therefore the LCM of Fractions 60/374,4648/6206 is 34860

Greatest Common Factor of 374,6206 By Matching Biggest Common Factor Method

Greatest Common Factor of 374,6206 By Matching Biggest Common Factor Method

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Factors of 6206

List of positive integer factors of 6206 that divides 6206 without a remainder.

1,2,29,58,107,214,3103,6206

Greatest Common Factor

We found the factors 374,6206 . The biggest common factor number is the GCF number.
So the greatest common factor 374,6206 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 60/374, 4648/6206

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 60/374, 4648/6206?

Answer: LCM of Numerators as per given numbers 60/374, 4648/6206 is

LCM of Numerators i.e. for 60,4648 is 69720

GCF of denominators i.e. for 374,6206 is 2.

Thus, LCM of Fractions is 34860.Finally, LCM of Fractions for 60/374, 4648/6206 is 34860.