Least Common Multiple of 3010/478, 5653/9674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3010/478, 5653/9674 quickly i.e. 8507765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3010/478, 5653/9674 is 8507765.

LCM(3010/478, 5653/9674) = 8507765

LCM of 3010/478, 5653/9674

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 3010/478,5653/9674

Given numbers are 3010/478,5653/9674

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 3010,5653

Least Common Multiple of Numerators i.e. LCM of 3010,5653 is 17015530.

GCF of Denominators means GCF of 478,9674 as per the given fractions.

GCF of 478,9674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3010,5653

LCM of Fractions 3010/478,5653/9674 is 8507765

Given numbers has no common factors except 1. So, there LCM is their product i.e 17015530

Least Common Multiple of 3010,5653 with GCF Formula

Least Common Multiple of 3010,5653 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 3010,5653 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3010,5653) = 1

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

GCF(3010,5653) x common factors =1 x 1 = 1

LCM(3010,5653) = ( 3010 × 5653 ) / 1

LCM(3010,5653) = 17015530 / 1

LCM(3010,5653) = 17015530


Lets's calculate GCF of 478,9674

2 478, 9674
239, 4837

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17015530/2

Therefore the LCM of Fractions 3010/478,5653/9674 is 8507765

Greatest Common Factor of 478,9674 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,9674 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1,2,7,14,691,1382,4837,9674

Greatest Common Factor

We found the factors 478,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 478,9674 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 3010/478, 5653/9674

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 3010/478, 5653/9674?

Answer: LCM of Numerators as per given numbers 3010/478, 5653/9674 is

LCM of Numerators i.e. for 3010,5653 is 17015530

GCF of denominators i.e. for 478,9674 is 2.

Thus, LCM of Fractions is 8507765.Finally, LCM of Fractions for 3010/478, 5653/9674 is 8507765.