Least Common Multiple of 748/618, 869/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 748/618, 869/503 quickly i.e. 59092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 748/618, 869/503 is 59092.

LCM(748/618, 869/503) = 59092

LCM of 748/618, 869/503

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 748/618,869/503

Given numbers are 748/618,869/503

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 748,869

Least Common Multiple of Numerators i.e. LCM of 748,869 is 59092.

GCF of Denominators means GCF of 618,503 as per the given fractions.

GCF of 618,503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 748,869

LCM of Fractions 748/618,869/503 is 59092

11 748, 869
68, 79

∴ So the LCM of the given numbers is 11 x 68 x 79 = 59092

Least Common Multiple of 748,869 with GCF Formula

Least Common Multiple of 748,869 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 748,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,869) = 11

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

GCF(748,869) x common factors =11 x 1 = 11

LCM(748,869) = ( 748 × 869 ) / 11

LCM(748,869) = 650012 / 11

LCM(748,869) = 59092


Lets's calculate GCF of 618,503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59092/1

Therefore the LCM of Fractions 748/618,869/503 is 59092

Greatest Common Factor of 618,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,503 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Greatest Common Factor

We found the factors 618,503 . The biggest common factor number is the GCF number.
So the greatest common factor 618,503 is 1.


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 748/618, 869/503

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 748/618, 869/503?

Answer: LCM of Numerators as per given numbers 748/618, 869/503 is

LCM of Numerators i.e. for 748,869 is 59092

GCF of denominators i.e. for 618,503 is 1.

Thus, LCM of Fractions is 59092.Finally, LCM of Fractions for 748/618, 869/503 is 59092.