Least Common Multiple of 74/553, 9137/1911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/553, 9137/1911 quickly i.e. 676138/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/553, 9137/1911 is 676138/7.

LCM(74/553, 9137/1911) = 676138/7

LCM of 74/553, 9137/1911

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 74/553,9137/1911

Given numbers are 74/553,9137/1911

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 74,9137

Least Common Multiple of Numerators i.e. LCM of 74,9137 is 676138.

GCF of Denominators means GCF of 553,1911 as per the given fractions.

GCF of 553,1911 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,9137

LCM of Fractions 74/553,9137/1911 is 676138/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 676138

Least Common Multiple of 74,9137 with GCF Formula

Least Common Multiple of 74,9137 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 74,9137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,9137) = 1

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

GCF(74,9137) x common factors =1 x 1 = 1

LCM(74,9137) = ( 74 × 9137 ) / 1

LCM(74,9137) = 676138 / 1

LCM(74,9137) = 676138


Lets's calculate GCF of 553,1911

7 553, 1911
79, 273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 676138/7

Therefore the LCM of Fractions 74/553,9137/1911 is 676138/7

Greatest Common Factor of 553,1911 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,1911 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 1911

List of positive integer factors of 1911 that divides 1911 without a remainder.

1,3,7,13,21,39,49,91,147,273,637,1911

Greatest Common Factor

We found the factors 553,1911 . The biggest common factor number is the GCF number.
So the greatest common factor 553,1911 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 74/553, 9137/1911

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 74/553, 9137/1911?

Answer: LCM of Numerators as per given numbers 74/553, 9137/1911 is

LCM of Numerators i.e. for 74,9137 is 676138

GCF of denominators i.e. for 553,1911 is 7.

Thus, LCM of Fractions is 676138/7.Finally, LCM of Fractions for 74/553, 9137/1911 is 676138/7.