Least Common Multiple of 149/85, 769/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/85, 769/200 quickly i.e. 114581/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/85, 769/200 is 114581/5.

LCM(149/85, 769/200) = 114581/5

LCM of 149/85, 769/200

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 149/85,769/200

Given numbers are 149/85,769/200

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 149,769

Least Common Multiple of Numerators i.e. LCM of 149,769 is 114581.

GCF of Denominators means GCF of 85,200 as per the given fractions.

GCF of 85,200 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,769

LCM of Fractions 149/85,769/200 is 114581/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 114581

Least Common Multiple of 149,769 with GCF Formula

Least Common Multiple of 149,769 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 149,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,769) = 1

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

GCF(149,769) x common factors =1 x 1 = 1

LCM(149,769) = ( 149 × 769 ) / 1

LCM(149,769) = 114581 / 1

LCM(149,769) = 114581


Lets's calculate GCF of 85,200

5 85, 200
17, 40

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114581/5

Therefore the LCM of Fractions 149/85,769/200 is 114581/5

Greatest Common Factor of 85,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,200 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 85,200 . The biggest common factor number is the GCF number.
So the greatest common factor 85,200 is 5.


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 149/85, 769/200

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 149/85, 769/200?

Answer: LCM of Numerators as per given numbers 149/85, 769/200 is

LCM of Numerators i.e. for 149,769 is 114581

GCF of denominators i.e. for 85,200 is 5.

Thus, LCM of Fractions is 114581/5.Finally, LCM of Fractions for 149/85, 769/200 is 114581/5.