Least Common Multiple of 7734/490, 7967/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7734/490, 7967/668 quickly i.e. 30808389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7734/490, 7967/668 is 30808389.

LCM(7734/490, 7967/668) = 30808389

LCM of 7734/490, 7967/668

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 7734/490,7967/668

Given numbers are 7734/490,7967/668

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 7734,7967

Least Common Multiple of Numerators i.e. LCM of 7734,7967 is 61616778.

GCF of Denominators means GCF of 490,668 as per the given fractions.

GCF of 490,668 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7734,7967

LCM of Fractions 7734/490,7967/668 is 30808389

Given numbers has no common factors except 1. So, there LCM is their product i.e 61616778

Least Common Multiple of 7734,7967 with GCF Formula

Least Common Multiple of 7734,7967 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 7734,7967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7734,7967) = 1

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

GCF(7734,7967) x common factors =1 x 1 = 1

LCM(7734,7967) = ( 7734 × 7967 ) / 1

LCM(7734,7967) = 61616778 / 1

LCM(7734,7967) = 61616778


Lets's calculate GCF of 490,668

2 490, 668
245, 334

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61616778/2

Therefore the LCM of Fractions 7734/490,7967/668 is 30808389

Greatest Common Factor of 490,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,668 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 490,668 . The biggest common factor number is the GCF number.
So the greatest common factor 490,668 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 7734/490, 7967/668

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 7734/490, 7967/668?

Answer: LCM of Numerators as per given numbers 7734/490, 7967/668 is

LCM of Numerators i.e. for 7734,7967 is 61616778

GCF of denominators i.e. for 490,668 is 2.

Thus, LCM of Fractions is 30808389.Finally, LCM of Fractions for 7734/490, 7967/668 is 30808389.