Least Common Multiple of 7228/646, 6908/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7228/646, 6908/420 quickly i.e. 6241378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7228/646, 6908/420 is 6241378.

LCM(7228/646, 6908/420) = 6241378

LCM of 7228/646, 6908/420

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 7228/646,6908/420

Given numbers are 7228/646,6908/420

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 7228,6908

Least Common Multiple of Numerators i.e. LCM of 7228,6908 is 12482756.

GCF of Denominators means GCF of 646,420 as per the given fractions.

GCF of 646,420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7228,6908

LCM of Fractions 7228/646,6908/420 is 6241378

2 7228, 6908
2 3614, 3454
1807, 1727

∴ So the LCM of the given numbers is 2 x 2 x 1807 x 1727 = 12482756

Least Common Multiple of 7228,6908 with GCF Formula

Least Common Multiple of 7228,6908 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 7228,6908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7228,6908) = 4

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

GCF(7228,6908) x common factors =4 x 1 = 4

LCM(7228,6908) = ( 7228 × 6908 ) / 4

LCM(7228,6908) = 49931024 / 4

LCM(7228,6908) = 12482756


Lets's calculate GCF of 646,420

2 646, 420
323, 210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12482756/2

Therefore the LCM of Fractions 7228/646,6908/420 is 6241378

Greatest Common Factor of 646,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 646,420 By Matching Biggest Common Factor Method

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 646,420 . The biggest common factor number is the GCF number.
So the greatest common factor 646,420 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 7228/646, 6908/420

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 7228/646, 6908/420?

Answer: LCM of Numerators as per given numbers 7228/646, 6908/420 is

LCM of Numerators i.e. for 7228,6908 is 12482756

GCF of denominators i.e. for 646,420 is 2.

Thus, LCM of Fractions is 6241378.Finally, LCM of Fractions for 7228/646, 6908/420 is 6241378.