Least Common Multiple of 700/478, 4054/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 700/478, 4054/200 quickly i.e. 709450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/478, 4054/200 is 709450.

LCM(700/478, 4054/200) = 709450

LCM of 700/478, 4054/200

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 700/478,4054/200

Given numbers are 700/478,4054/200

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 700,4054

Least Common Multiple of Numerators i.e. LCM of 700,4054 is 1418900.

GCF of Denominators means GCF of 478,200 as per the given fractions.

GCF of 478,200 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,4054

LCM of Fractions 700/478,4054/200 is 709450

2 700, 4054
350, 2027

∴ So the LCM of the given numbers is 2 x 350 x 2027 = 1418900

Least Common Multiple of 700,4054 with GCF Formula

Least Common Multiple of 700,4054 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 700,4054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,4054) = 2

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

GCF(700,4054) x common factors =2 x 1 = 2

LCM(700,4054) = ( 700 × 4054 ) / 2

LCM(700,4054) = 2837800 / 2

LCM(700,4054) = 1418900


Lets's calculate GCF of 478,200

2 478, 200
239, 100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1418900/2

Therefore the LCM of Fractions 700/478,4054/200 is 709450

Greatest Common Factor of 478,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 478,200 By Matching Biggest Common Factor Method

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

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 478,200 . The biggest common factor number is the GCF number.
So the greatest common factor 478,200 is 2.


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 700/478, 4054/200

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 700/478, 4054/200?

Answer: LCM of Numerators as per given numbers 700/478, 4054/200 is

LCM of Numerators i.e. for 700,4054 is 1418900

GCF of denominators i.e. for 478,200 is 2.

Thus, LCM of Fractions is 709450.Finally, LCM of Fractions for 700/478, 4054/200 is 709450.