Least Common Multiple of 2412/700, 1222/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2412/700, 1222/275 quickly i.e. 1473732/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2412/700, 1222/275 is 1473732/25.

LCM(2412/700, 1222/275) = 1473732/25

LCM of 2412/700, 1222/275

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 2412/700,1222/275

Given numbers are 2412/700,1222/275

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 2412,1222

Least Common Multiple of Numerators i.e. LCM of 2412,1222 is 1473732.

GCF of Denominators means GCF of 700,275 as per the given fractions.

GCF of 700,275 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2412,1222

LCM of Fractions 2412/700,1222/275 is 1473732/25

2 2412, 1222
1206, 611

∴ So the LCM of the given numbers is 2 x 1206 x 611 = 1473732

Least Common Multiple of 2412,1222 with GCF Formula

Least Common Multiple of 2412,1222 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 2412,1222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2412,1222) = 2

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

GCF(2412,1222) x common factors =2 x 1 = 2

LCM(2412,1222) = ( 2412 × 1222 ) / 2

LCM(2412,1222) = 2947464 / 2

LCM(2412,1222) = 1473732


Lets's calculate GCF of 700,275

5 700, 275
5 140, 55
28, 11

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1473732/25

Therefore the LCM of Fractions 2412/700,1222/275 is 1473732/25

Greatest Common Factor of 700,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,275 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 700,275 . The biggest common factor number is the GCF number.
So the greatest common factor 700,275 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 2412/700, 1222/275

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 2412/700, 1222/275?

Answer: LCM of Numerators as per given numbers 2412/700, 1222/275 is

LCM of Numerators i.e. for 2412,1222 is 1473732

GCF of denominators i.e. for 700,275 is 25.

Thus, LCM of Fractions is 1473732/25.Finally, LCM of Fractions for 2412/700, 1222/275 is 1473732/25.