Least Common Multiple of 735/62, 1162/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 735/62, 1162/622 quickly i.e. 61005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/62, 1162/622 is 61005.

LCM(735/62, 1162/622) = 61005

LCM of 735/62, 1162/622

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 735/62,1162/622

Given numbers are 735/62,1162/622

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 735,1162

Least Common Multiple of Numerators i.e. LCM of 735,1162 is 122010.

GCF of Denominators means GCF of 62,622 as per the given fractions.

GCF of 62,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,1162

LCM of Fractions 735/62,1162/622 is 61005

7 735, 1162
105, 166

∴ So the LCM of the given numbers is 7 x 105 x 166 = 122010

Least Common Multiple of 735,1162 with GCF Formula

Least Common Multiple of 735,1162 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 735,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,1162) = 7

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

GCF(735,1162) x common factors =7 x 1 = 7

LCM(735,1162) = ( 735 × 1162 ) / 7

LCM(735,1162) = 854070 / 7

LCM(735,1162) = 122010


Lets's calculate GCF of 62,622

2 62, 622
31, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122010/2

Therefore the LCM of Fractions 735/62,1162/622 is 61005

Greatest Common Factor of 62,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,622 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 62,622 . The biggest common factor number is the GCF number.
So the greatest common factor 62,622 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 735/62, 1162/622

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 735/62, 1162/622?

Answer: LCM of Numerators as per given numbers 735/62, 1162/622 is

LCM of Numerators i.e. for 735,1162 is 122010

GCF of denominators i.e. for 62,622 is 2.

Thus, LCM of Fractions is 61005.Finally, LCM of Fractions for 735/62, 1162/622 is 61005.