Least Common Multiple of 742/262, 9400/8262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/262, 9400/8262 quickly i.e. 1743700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/262, 9400/8262 is 1743700.

LCM(742/262, 9400/8262) = 1743700

LCM of 742/262, 9400/8262

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 742/262,9400/8262

Given numbers are 742/262,9400/8262

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 742,9400

Least Common Multiple of Numerators i.e. LCM of 742,9400 is 3487400.

GCF of Denominators means GCF of 262,8262 as per the given fractions.

GCF of 262,8262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,9400

LCM of Fractions 742/262,9400/8262 is 1743700

2 742, 9400
371, 4700

∴ So the LCM of the given numbers is 2 x 371 x 4700 = 3487400

Least Common Multiple of 742,9400 with GCF Formula

Least Common Multiple of 742,9400 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 742,9400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,9400) = 2

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

GCF(742,9400) x common factors =2 x 1 = 2

LCM(742,9400) = ( 742 × 9400 ) / 2

LCM(742,9400) = 6974800 / 2

LCM(742,9400) = 3487400


Lets's calculate GCF of 262,8262

2 262, 8262
131, 4131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3487400/2

Therefore the LCM of Fractions 742/262,9400/8262 is 1743700

Greatest Common Factor of 262,8262 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,8262 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 8262

List of positive integer factors of 8262 that divides 8262 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262

Greatest Common Factor

We found the factors 262,8262 . The biggest common factor number is the GCF number.
So the greatest common factor 262,8262 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 742/262, 9400/8262

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 742/262, 9400/8262?

Answer: LCM of Numerators as per given numbers 742/262, 9400/8262 is

LCM of Numerators i.e. for 742,9400 is 3487400

GCF of denominators i.e. for 262,8262 is 2.

Thus, LCM of Fractions is 1743700.Finally, LCM of Fractions for 742/262, 9400/8262 is 1743700.