Least Common Multiple of 4041/49, 6850/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4041/49, 6850/987 quickly i.e. 27680850/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4041/49, 6850/987 is 27680850/7.

LCM(4041/49, 6850/987) = 27680850/7

LCM of 4041/49, 6850/987

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 4041/49,6850/987

Given numbers are 4041/49,6850/987

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 4041,6850

Least Common Multiple of Numerators i.e. LCM of 4041,6850 is 27680850.

GCF of Denominators means GCF of 49,987 as per the given fractions.

GCF of 49,987 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4041,6850

LCM of Fractions 4041/49,6850/987 is 27680850/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 27680850

Least Common Multiple of 4041,6850 with GCF Formula

Least Common Multiple of 4041,6850 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 4041,6850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4041,6850) = 1

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

GCF(4041,6850) x common factors =1 x 1 = 1

LCM(4041,6850) = ( 4041 × 6850 ) / 1

LCM(4041,6850) = 27680850 / 1

LCM(4041,6850) = 27680850


Lets's calculate GCF of 49,987

7 49, 987
7, 141

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27680850/7

Therefore the LCM of Fractions 4041/49,6850/987 is 27680850/7

Greatest Common Factor of 49,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,987 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 49,987 . The biggest common factor number is the GCF number.
So the greatest common factor 49,987 is 7.


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 4041/49, 6850/987

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 4041/49, 6850/987?

Answer: LCM of Numerators as per given numbers 4041/49, 6850/987 is

LCM of Numerators i.e. for 4041,6850 is 27680850

GCF of denominators i.e. for 49,987 is 7.

Thus, LCM of Fractions is 27680850/7.Finally, LCM of Fractions for 4041/49, 6850/987 is 27680850/7.