Least Common Multiple of 3212/502, 7552/4770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3212/502, 7552/4770 quickly i.e. 3032128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3212/502, 7552/4770 is 3032128.

LCM(3212/502, 7552/4770) = 3032128

LCM of 3212/502, 7552/4770

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 3212/502,7552/4770

Given numbers are 3212/502,7552/4770

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 3212,7552

Least Common Multiple of Numerators i.e. LCM of 3212,7552 is 6064256.

GCF of Denominators means GCF of 502,4770 as per the given fractions.

GCF of 502,4770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3212,7552

LCM of Fractions 3212/502,7552/4770 is 3032128

2 3212, 7552
2 1606, 3776
803, 1888

∴ So the LCM of the given numbers is 2 x 2 x 803 x 1888 = 6064256

Least Common Multiple of 3212,7552 with GCF Formula

Least Common Multiple of 3212,7552 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 3212,7552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3212,7552) = 4

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

GCF(3212,7552) x common factors =4 x 1 = 4

LCM(3212,7552) = ( 3212 × 7552 ) / 4

LCM(3212,7552) = 24257024 / 4

LCM(3212,7552) = 6064256


Lets's calculate GCF of 502,4770

2 502, 4770
251, 2385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6064256/2

Therefore the LCM of Fractions 3212/502,7552/4770 is 3032128

Greatest Common Factor of 502,4770 By Matching Biggest Common Factor Method

Greatest Common Factor of 502,4770 By Matching Biggest Common Factor Method

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 4770

List of positive integer factors of 4770 that divides 4770 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770

Greatest Common Factor

We found the factors 502,4770 . The biggest common factor number is the GCF number.
So the greatest common factor 502,4770 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 3212/502, 7552/4770

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 3212/502, 7552/4770?

Answer: LCM of Numerators as per given numbers 3212/502, 7552/4770 is

LCM of Numerators i.e. for 3212,7552 is 6064256

GCF of denominators i.e. for 502,4770 is 2.

Thus, LCM of Fractions is 3032128.Finally, LCM of Fractions for 3212/502, 7552/4770 is 3032128.