Least Common Multiple of 60/949, 5108/3206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/949, 5108/3206 quickly i.e. 76620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/949, 5108/3206 is 76620.

LCM(60/949, 5108/3206) = 76620

LCM of 60/949, 5108/3206

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 60/949,5108/3206

Given numbers are 60/949,5108/3206

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 60,5108

Least Common Multiple of Numerators i.e. LCM of 60,5108 is 76620.

GCF of Denominators means GCF of 949,3206 as per the given fractions.

GCF of 949,3206 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,5108

LCM of Fractions 60/949,5108/3206 is 76620

2 60, 5108
2 30, 2554
15, 1277

∴ So the LCM of the given numbers is 2 x 2 x 15 x 1277 = 76620

Least Common Multiple of 60,5108 with GCF Formula

Least Common Multiple of 60,5108 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 60,5108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,5108) = 4

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

GCF(60,5108) x common factors =4 x 1 = 4

LCM(60,5108) = ( 60 × 5108 ) / 4

LCM(60,5108) = 306480 / 4

LCM(60,5108) = 76620


Lets's calculate GCF of 949,3206

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76620/1

Therefore the LCM of Fractions 60/949,5108/3206 is 76620

Greatest Common Factor of 949,3206 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,3206 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 3206

List of positive integer factors of 3206 that divides 3206 without a remainder.

1,2,7,14,229,458,1603,3206

Greatest Common Factor

We found the factors 949,3206 . The biggest common factor number is the GCF number.
So the greatest common factor 949,3206 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 60/949, 5108/3206

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 60/949, 5108/3206?

Answer: LCM of Numerators as per given numbers 60/949, 5108/3206 is

LCM of Numerators i.e. for 60,5108 is 76620

GCF of denominators i.e. for 949,3206 is 1.

Thus, LCM of Fractions is 76620.Finally, LCM of Fractions for 60/949, 5108/3206 is 76620.