Least Common Multiple of 998/641, 1510/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 998/641, 1510/703 quickly i.e. 753490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 998/641, 1510/703 is 753490.

LCM(998/641, 1510/703) = 753490

LCM of 998/641, 1510/703

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 998/641,1510/703

Given numbers are 998/641,1510/703

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 998,1510

Least Common Multiple of Numerators i.e. LCM of 998,1510 is 753490.

GCF of Denominators means GCF of 641,703 as per the given fractions.

GCF of 641,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 998,1510

LCM of Fractions 998/641,1510/703 is 753490

2 998, 1510
499, 755

∴ So the LCM of the given numbers is 2 x 499 x 755 = 753490

Least Common Multiple of 998,1510 with GCF Formula

Least Common Multiple of 998,1510 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 998,1510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(998,1510) = 2

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

GCF(998,1510) x common factors =2 x 1 = 2

LCM(998,1510) = ( 998 × 1510 ) / 2

LCM(998,1510) = 1506980 / 2

LCM(998,1510) = 753490


Lets's calculate GCF of 641,703

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 753490/1

Therefore the LCM of Fractions 998/641,1510/703 is 753490

Greatest Common Factor of 641,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 641,703 By Matching Biggest Common Factor Method

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 641,703 . The biggest common factor number is the GCF number.
So the greatest common factor 641,703 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 998/641, 1510/703

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 998/641, 1510/703?

Answer: LCM of Numerators as per given numbers 998/641, 1510/703 is

LCM of Numerators i.e. for 998,1510 is 753490

GCF of denominators i.e. for 641,703 is 1.

Thus, LCM of Fractions is 753490.Finally, LCM of Fractions for 998/641, 1510/703 is 753490.