Least Common Multiple of 414/96, 700/1975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/96, 700/1975 quickly i.e. 144900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/96, 700/1975 is 144900.

LCM(414/96, 700/1975) = 144900

LCM of 414/96, 700/1975

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 414/96,700/1975

Given numbers are 414/96,700/1975

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 414,700

Least Common Multiple of Numerators i.e. LCM of 414,700 is 144900.

GCF of Denominators means GCF of 96,1975 as per the given fractions.

GCF of 96,1975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,700

LCM of Fractions 414/96,700/1975 is 144900

2 414, 700
207, 350

∴ So the LCM of the given numbers is 2 x 207 x 350 = 144900

Least Common Multiple of 414,700 with GCF Formula

Least Common Multiple of 414,700 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 414,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,700) = 2

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

GCF(414,700) x common factors =2 x 1 = 2

LCM(414,700) = ( 414 × 700 ) / 2

LCM(414,700) = 289800 / 2

LCM(414,700) = 144900


Lets's calculate GCF of 96,1975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144900/1

Therefore the LCM of Fractions 414/96,700/1975 is 144900

Greatest Common Factor of 96,1975 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1975 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 1975

List of positive integer factors of 1975 that divides 1975 without a remainder.

1,5,25,79,395,1975

Greatest Common Factor

We found the factors 96,1975 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1975 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 414/96, 700/1975

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 414/96, 700/1975?

Answer: LCM of Numerators as per given numbers 414/96, 700/1975 is

LCM of Numerators i.e. for 414,700 is 144900

GCF of denominators i.e. for 96,1975 is 1.

Thus, LCM of Fractions is 144900.Finally, LCM of Fractions for 414/96, 700/1975 is 144900.