Least Common Multiple of 3400/575, 3858/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3400/575, 3858/250 quickly i.e. 262344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3400/575, 3858/250 is 262344.

LCM(3400/575, 3858/250) = 262344

LCM of 3400/575, 3858/250

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 3400/575,3858/250

Given numbers are 3400/575,3858/250

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 3400,3858

Least Common Multiple of Numerators i.e. LCM of 3400,3858 is 6558600.

GCF of Denominators means GCF of 575,250 as per the given fractions.

GCF of 575,250 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3400,3858

LCM of Fractions 3400/575,3858/250 is 262344

2 3400, 3858
1700, 1929

∴ So the LCM of the given numbers is 2 x 1700 x 1929 = 6558600

Least Common Multiple of 3400,3858 with GCF Formula

Least Common Multiple of 3400,3858 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 3400,3858 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3400,3858) = 2

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

GCF(3400,3858) x common factors =2 x 1 = 2

LCM(3400,3858) = ( 3400 × 3858 ) / 2

LCM(3400,3858) = 13117200 / 2

LCM(3400,3858) = 6558600


Lets's calculate GCF of 575,250

5 575, 250
5 115, 50
23, 10

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6558600/25

Therefore the LCM of Fractions 3400/575,3858/250 is 262344

Greatest Common Factor of 575,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,250 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 575,250 . The biggest common factor number is the GCF number.
So the greatest common factor 575,250 is 25.


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 3400/575, 3858/250

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 3400/575, 3858/250?

Answer: LCM of Numerators as per given numbers 3400/575, 3858/250 is

LCM of Numerators i.e. for 3400,3858 is 6558600

GCF of denominators i.e. for 575,250 is 25.

Thus, LCM of Fractions is 262344.Finally, LCM of Fractions for 3400/575, 3858/250 is 262344.