Least Common Multiple of 444/946, 4200/2270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/946, 4200/2270 quickly i.e. 77700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/946, 4200/2270 is 77700.

LCM(444/946, 4200/2270) = 77700

LCM of 444/946, 4200/2270

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 444/946,4200/2270

Given numbers are 444/946,4200/2270

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 444,4200

Least Common Multiple of Numerators i.e. LCM of 444,4200 is 155400.

GCF of Denominators means GCF of 946,2270 as per the given fractions.

GCF of 946,2270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,4200

LCM of Fractions 444/946,4200/2270 is 77700

2 444, 4200
2 222, 2100
3 111, 1050
37, 350

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 350 = 155400

Least Common Multiple of 444,4200 with GCF Formula

Least Common Multiple of 444,4200 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 444,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,4200) = 12

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

GCF(444,4200) x common factors =12 x 1 = 12

LCM(444,4200) = ( 444 × 4200 ) / 12

LCM(444,4200) = 1864800 / 12

LCM(444,4200) = 155400


Lets's calculate GCF of 946,2270

2 946, 2270
473, 1135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155400/2

Therefore the LCM of Fractions 444/946,4200/2270 is 77700

Greatest Common Factor of 946,2270 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,2270 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 2270

List of positive integer factors of 2270 that divides 2270 without a remainder.

1,2,5,10,227,454,1135,2270

Greatest Common Factor

We found the factors 946,2270 . The biggest common factor number is the GCF number.
So the greatest common factor 946,2270 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 444/946, 4200/2270

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 444/946, 4200/2270?

Answer: LCM of Numerators as per given numbers 444/946, 4200/2270 is

LCM of Numerators i.e. for 444,4200 is 155400

GCF of denominators i.e. for 946,2270 is 2.

Thus, LCM of Fractions is 77700.Finally, LCM of Fractions for 444/946, 4200/2270 is 77700.