Least Common Multiple of 2140/429, 5025/8005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2140/429, 5025/8005 quickly i.e. 2150700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2140/429, 5025/8005 is 2150700.

LCM(2140/429, 5025/8005) = 2150700

LCM of 2140/429, 5025/8005

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 2140/429,5025/8005

Given numbers are 2140/429,5025/8005

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 2140,5025

Least Common Multiple of Numerators i.e. LCM of 2140,5025 is 2150700.

GCF of Denominators means GCF of 429,8005 as per the given fractions.

GCF of 429,8005 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2140,5025

LCM of Fractions 2140/429,5025/8005 is 2150700

5 2140, 5025
428, 1005

∴ So the LCM of the given numbers is 5 x 428 x 1005 = 2150700

Least Common Multiple of 2140,5025 with GCF Formula

Least Common Multiple of 2140,5025 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 2140,5025 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2140,5025) = 5

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

GCF(2140,5025) x common factors =5 x 1 = 5

LCM(2140,5025) = ( 2140 × 5025 ) / 5

LCM(2140,5025) = 10753500 / 5

LCM(2140,5025) = 2150700


Lets's calculate GCF of 429,8005

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2150700/1

Therefore the LCM of Fractions 2140/429,5025/8005 is 2150700

Greatest Common Factor of 429,8005 By Matching Biggest Common Factor Method

Greatest Common Factor of 429,8005 By Matching Biggest Common Factor Method

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1,5,1601,8005

Greatest Common Factor

We found the factors 429,8005 . The biggest common factor number is the GCF number.
So the greatest common factor 429,8005 is 1.


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 2140/429, 5025/8005

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 2140/429, 5025/8005?

Answer: LCM of Numerators as per given numbers 2140/429, 5025/8005 is

LCM of Numerators i.e. for 2140,5025 is 2150700

GCF of denominators i.e. for 429,8005 is 1.

Thus, LCM of Fractions is 2150700.Finally, LCM of Fractions for 2140/429, 5025/8005 is 2150700.