Least Common Multiple of 7352/614, 5668/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7352/614, 5668/620 quickly i.e. 5208892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7352/614, 5668/620 is 5208892.

LCM(7352/614, 5668/620) = 5208892

LCM of 7352/614, 5668/620

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 7352/614,5668/620

Given numbers are 7352/614,5668/620

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 7352,5668

Least Common Multiple of Numerators i.e. LCM of 7352,5668 is 10417784.

GCF of Denominators means GCF of 614,620 as per the given fractions.

GCF of 614,620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7352,5668

LCM of Fractions 7352/614,5668/620 is 5208892

2 7352, 5668
2 3676, 2834
1838, 1417

∴ So the LCM of the given numbers is 2 x 2 x 1838 x 1417 = 10417784

Least Common Multiple of 7352,5668 with GCF Formula

Least Common Multiple of 7352,5668 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 7352,5668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7352,5668) = 4

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

GCF(7352,5668) x common factors =4 x 1 = 4

LCM(7352,5668) = ( 7352 × 5668 ) / 4

LCM(7352,5668) = 41671136 / 4

LCM(7352,5668) = 10417784


Lets's calculate GCF of 614,620

2 614, 620
307, 310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10417784/2

Therefore the LCM of Fractions 7352/614,5668/620 is 5208892

Greatest Common Factor of 614,620 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,620 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 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors 614,620 . The biggest common factor number is the GCF number.
So the greatest common factor 614,620 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 7352/614, 5668/620

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 7352/614, 5668/620?

Answer: LCM of Numerators as per given numbers 7352/614, 5668/620 is

LCM of Numerators i.e. for 7352,5668 is 10417784

GCF of denominators i.e. for 614,620 is 2.

Thus, LCM of Fractions is 5208892.Finally, LCM of Fractions for 7352/614, 5668/620 is 5208892.