Least Common Multiple of 9878/377, 6154/377

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9878/377, 6154/377 quickly i.e. 30394606/377 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9878/377, 6154/377 is 30394606/377.

LCM(9878/377, 6154/377) = 30394606/377

LCM of 9878/377, 6154/377

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 9878/377,6154/377

Given numbers are 9878/377,6154/377

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 9878,6154

Least Common Multiple of Numerators i.e. LCM of 9878,6154 is 30394606.

GCF of Denominators means GCF of 377,377 as per the given fractions.

GCF of 377,377 is 377 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9878,6154

LCM of Fractions 9878/377,6154/377 is 30394606/377

2 9878, 6154
4939, 3077

∴ So the LCM of the given numbers is 2 x 4939 x 3077 = 30394606

Least Common Multiple of 9878,6154 with GCF Formula

Least Common Multiple of 9878,6154 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 9878,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9878,6154) = 2

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

GCF(9878,6154) x common factors =2 x 1 = 2

LCM(9878,6154) = ( 9878 × 6154 ) / 2

LCM(9878,6154) = 60789212 / 2

LCM(9878,6154) = 30394606


Lets's calculate GCF of 377,377

13 377, 377
29 29, 29
1, 1

∴ So the GCF of the given numbers is 13 x 29 = 377

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30394606/377

Therefore the LCM of Fractions 9878/377,6154/377 is 30394606/377

Greatest Common Factor of 377,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,377 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Greatest Common Factor

We found the factors 377,377 . The biggest common factor number is the GCF number.
So the greatest common factor 377,377 is 377.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9878/377, 6154/377

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 9878/377, 6154/377?

Answer: LCM of Numerators as per given numbers 9878/377, 6154/377 is

LCM of Numerators i.e. for 9878,6154 is 30394606

GCF of denominators i.e. for 377,377 is 377.

Thus, LCM of Fractions is 30394606/377.Finally, LCM of Fractions for 9878/377, 6154/377 is 30394606/377.