Least Common Multiple of 46/962, 1402/7237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 46/962, 1402/7237 quickly i.e. 32246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/962, 1402/7237 is 32246.

LCM(46/962, 1402/7237) = 32246

LCM of 46/962, 1402/7237

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 46/962,1402/7237

Given numbers are 46/962,1402/7237

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 46,1402

Least Common Multiple of Numerators i.e. LCM of 46,1402 is 32246.

GCF of Denominators means GCF of 962,7237 as per the given fractions.

GCF of 962,7237 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,1402

LCM of Fractions 46/962,1402/7237 is 32246

2 46, 1402
23, 701

∴ So the LCM of the given numbers is 2 x 23 x 701 = 32246

Least Common Multiple of 46,1402 with GCF Formula

Least Common Multiple of 46,1402 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 46,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,1402) = 2

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

GCF(46,1402) x common factors =2 x 1 = 2

LCM(46,1402) = ( 46 × 1402 ) / 2

LCM(46,1402) = 64492 / 2

LCM(46,1402) = 32246


Lets's calculate GCF of 962,7237

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32246/1

Therefore the LCM of Fractions 46/962,1402/7237 is 32246

Greatest Common Factor of 962,7237 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,7237 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 7237

List of positive integer factors of 7237 that divides 7237 without a remainder.

1,7237

Greatest Common Factor

We found the factors 962,7237 . The biggest common factor number is the GCF number.
So the greatest common factor 962,7237 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 46/962, 1402/7237

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 46/962, 1402/7237?

Answer: LCM of Numerators as per given numbers 46/962, 1402/7237 is

LCM of Numerators i.e. for 46,1402 is 32246

GCF of denominators i.e. for 962,7237 is 1.

Thus, LCM of Fractions is 32246.Finally, LCM of Fractions for 46/962, 1402/7237 is 32246.