Least Common Multiple of 222/370, 1692/6285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/370, 1692/6285 quickly i.e. 62604/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/370, 1692/6285 is 62604/5.

LCM(222/370, 1692/6285) = 62604/5

LCM of 222/370, 1692/6285

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 222/370,1692/6285

Given numbers are 222/370,1692/6285

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 222,1692

Least Common Multiple of Numerators i.e. LCM of 222,1692 is 62604.

GCF of Denominators means GCF of 370,6285 as per the given fractions.

GCF of 370,6285 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,1692

LCM of Fractions 222/370,1692/6285 is 62604/5

2 222, 1692
3 111, 846
37, 282

∴ So the LCM of the given numbers is 2 x 3 x 37 x 282 = 62604

Least Common Multiple of 222,1692 with GCF Formula

Least Common Multiple of 222,1692 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 222,1692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,1692) = 6

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

GCF(222,1692) x common factors =6 x 1 = 6

LCM(222,1692) = ( 222 × 1692 ) / 6

LCM(222,1692) = 375624 / 6

LCM(222,1692) = 62604


Lets's calculate GCF of 370,6285

5 370, 6285
74, 1257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62604/5

Therefore the LCM of Fractions 222/370,1692/6285 is 62604/5

Greatest Common Factor of 370,6285 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,6285 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1,3,5,15,419,1257,2095,6285

Greatest Common Factor

We found the factors 370,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 370,6285 is 5.


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 222/370, 1692/6285

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 222/370, 1692/6285?

Answer: LCM of Numerators as per given numbers 222/370, 1692/6285 is

LCM of Numerators i.e. for 222,1692 is 62604

GCF of denominators i.e. for 370,6285 is 5.

Thus, LCM of Fractions is 62604/5.Finally, LCM of Fractions for 222/370, 1692/6285 is 62604/5.