Least Common Multiple of 84/980, 69/424, 149/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/980, 69/424, 149/120 quickly i.e. 71967 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/980, 69/424, 149/120 is 71967.

LCM(84/980, 69/424, 149/120) = 71967

LCM of 84/980, 69/424, 149/120

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 84/980,69/424,149/120

Given numbers are 84/980,69/424,149/120

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 84,69,149

Least Common Multiple of Numerators i.e. LCM of 84,69,149 is 287868.

GCF of Denominators means GCF of 980,424,120 as per the given fractions.

GCF of 980,424,120 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,69,149

LCM of Fractions 84/980,69/424,149/120 is 71967

3 84, 69, 149
28, 23, 149

∴ So the LCM of the given numbers is 3 x 28 x 23 x 149 = 287868

Least Common Multiple of 84,69,149 with GCF Formula

Least Common Multiple of 84,69,149 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 84,69,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,69,149) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(84,69,149) x common factors =1 x 3 = 3

LCM(84,69,149) = ( 84 × 69 × 149 ) / 3

LCM(84,69,149) = 863604 / 3

LCM(84,69,149) = 287868


Lets's calculate GCF of 980,424,120

2 980, 424, 120
2 490, 212, 60
245, 106, 30

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287868/4

Therefore the LCM of Fractions 84/980,69/424,149/120 is 71967

Greatest Common Factor of 980,424,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,424,120 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 980,424,120 . The biggest common factor number is the GCF number.
So the greatest common factor 980,424,120 is 4.


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 84/980, 69/424, 149/120

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 84/980, 69/424, 149/120?

Answer: LCM of Numerators as per given numbers 84/980, 69/424, 149/120 is

LCM of Numerators i.e. for 84,69,149 is 287868

GCF of denominators i.e. for 980,424,120 is 4.

Thus, LCM of Fractions is 71967.Finally, LCM of Fractions for 84/980, 69/424, 149/120 is 71967.