Least Common Multiple of 939/814, 3123/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 939/814, 3123/154 quickly i.e. 977499/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 939/814, 3123/154 is 977499/22.

LCM(939/814, 3123/154) = 977499/22

LCM of 939/814, 3123/154

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 939/814,3123/154

Given numbers are 939/814,3123/154

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 939,3123

Least Common Multiple of Numerators i.e. LCM of 939,3123 is 977499.

GCF of Denominators means GCF of 814,154 as per the given fractions.

GCF of 814,154 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 939,3123

LCM of Fractions 939/814,3123/154 is 977499/22

3 939, 3123
313, 1041

∴ So the LCM of the given numbers is 3 x 313 x 1041 = 977499

Least Common Multiple of 939,3123 with GCF Formula

Least Common Multiple of 939,3123 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 939,3123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,3123) = 3

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

GCF(939,3123) x common factors =3 x 1 = 3

LCM(939,3123) = ( 939 × 3123 ) / 3

LCM(939,3123) = 2932497 / 3

LCM(939,3123) = 977499


Lets's calculate GCF of 814,154

2 814, 154
11 407, 77
37, 7

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 977499/22

Therefore the LCM of Fractions 939/814,3123/154 is 977499/22

Greatest Common Factor of 814,154 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,154 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Greatest Common Factor

We found the factors 814,154 . The biggest common factor number is the GCF number.
So the greatest common factor 814,154 is 22.


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 939/814, 3123/154

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 939/814, 3123/154?

Answer: LCM of Numerators as per given numbers 939/814, 3123/154 is

LCM of Numerators i.e. for 939,3123 is 977499

GCF of denominators i.e. for 814,154 is 22.

Thus, LCM of Fractions is 977499/22.Finally, LCM of Fractions for 939/814, 3123/154 is 977499/22.