Least Common Multiple of 422/784, 4216/1400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/784, 4216/1400 quickly i.e. 889576/56 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/784, 4216/1400 is 889576/56.

LCM(422/784, 4216/1400) = 889576/56

LCM of 422/784, 4216/1400

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 422/784,4216/1400

Given numbers are 422/784,4216/1400

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 422,4216

Least Common Multiple of Numerators i.e. LCM of 422,4216 is 889576.

GCF of Denominators means GCF of 784,1400 as per the given fractions.

GCF of 784,1400 is 56 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,4216

LCM of Fractions 422/784,4216/1400 is 889576/56

2 422, 4216
211, 2108

∴ So the LCM of the given numbers is 2 x 211 x 2108 = 889576

Least Common Multiple of 422,4216 with GCF Formula

Least Common Multiple of 422,4216 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 422,4216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,4216) = 2

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

GCF(422,4216) x common factors =2 x 1 = 2

LCM(422,4216) = ( 422 × 4216 ) / 2

LCM(422,4216) = 1779152 / 2

LCM(422,4216) = 889576


Lets's calculate GCF of 784,1400

2 784, 1400
2 392, 700
2 196, 350
7 98, 175
14, 25

∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 889576/56

Therefore the LCM of Fractions 422/784,4216/1400 is 889576/56

Greatest Common Factor of 784,1400 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,1400 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 1400

List of positive integer factors of 1400 that divides 1400 without a remainder.

1,2,4,5,7,8,10,14,20,25,28,35,40,50,56,70,100,140,175,200,280,350,700,1400

Greatest Common Factor

We found the factors 784,1400 . The biggest common factor number is the GCF number.
So the greatest common factor 784,1400 is 56.


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 422/784, 4216/1400

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 422/784, 4216/1400?

Answer: LCM of Numerators as per given numbers 422/784, 4216/1400 is

LCM of Numerators i.e. for 422,4216 is 889576

GCF of denominators i.e. for 784,1400 is 56.

Thus, LCM of Fractions is 889576/56.Finally, LCM of Fractions for 422/784, 4216/1400 is 889576/56.