Least Common Multiple of 1478/690, 2695/7702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1478/690, 2695/7702 quickly i.e. 1991605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1478/690, 2695/7702 is 1991605.

LCM(1478/690, 2695/7702) = 1991605

LCM of 1478/690, 2695/7702

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 1478/690,2695/7702

Given numbers are 1478/690,2695/7702

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 1478,2695

Least Common Multiple of Numerators i.e. LCM of 1478,2695 is 3983210.

GCF of Denominators means GCF of 690,7702 as per the given fractions.

GCF of 690,7702 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1478,2695

LCM of Fractions 1478/690,2695/7702 is 1991605

Given numbers has no common factors except 1. So, there LCM is their product i.e 3983210

Least Common Multiple of 1478,2695 with GCF Formula

Least Common Multiple of 1478,2695 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 1478,2695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1478,2695) = 1

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

GCF(1478,2695) x common factors =1 x 1 = 1

LCM(1478,2695) = ( 1478 × 2695 ) / 1

LCM(1478,2695) = 3983210 / 1

LCM(1478,2695) = 3983210


Lets's calculate GCF of 690,7702

2 690, 7702
345, 3851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3983210/2

Therefore the LCM of Fractions 1478/690,2695/7702 is 1991605

Greatest Common Factor of 690,7702 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,7702 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 7702

List of positive integer factors of 7702 that divides 7702 without a remainder.

1,2,3851,7702

Greatest Common Factor

We found the factors 690,7702 . The biggest common factor number is the GCF number.
So the greatest common factor 690,7702 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1478/690, 2695/7702

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 1478/690, 2695/7702?

Answer: LCM of Numerators as per given numbers 1478/690, 2695/7702 is

LCM of Numerators i.e. for 1478,2695 is 3983210

GCF of denominators i.e. for 690,7702 is 2.

Thus, LCM of Fractions is 1991605.Finally, LCM of Fractions for 1478/690, 2695/7702 is 1991605.