Least Common Multiple of 39/918, 17/962, 148/433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/918, 17/962, 148/433 quickly i.e. 98124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/918, 17/962, 148/433 is 98124.

LCM(39/918, 17/962, 148/433) = 98124

LCM of 39/918, 17/962, 148/433

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 39/918,17/962,148/433

Given numbers are 39/918,17/962,148/433

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 39,17,148

Least Common Multiple of Numerators i.e. LCM of 39,17,148 is 98124.

GCF of Denominators means GCF of 918,962,433 as per the given fractions.

GCF of 918,962,433 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,17,148

LCM of Fractions 39/918,17/962,148/433 is 98124

Given numbers has no common factors except 1. So, there LCM is their product i.e 98124

Least Common Multiple of 39,17,148 with GCF Formula

Least Common Multiple of 39,17,148 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 39,17,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,17,148) = 1

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

GCF(39,17,148) x common factors =1 x 1 = 1

LCM(39,17,148) = ( 39 × 17 × 148 ) / 1

LCM(39,17,148) = 98124 / 1

LCM(39,17,148) = 98124


Lets's calculate GCF of 918,962,433

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98124/1

Therefore the LCM of Fractions 39/918,17/962,148/433 is 98124

Greatest Common Factor of 918,962,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,962,433 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

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 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Greatest Common Factor

We found the factors 918,962,433 . The biggest common factor number is the GCF number.
So the greatest common factor 918,962,433 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/918, 17/962, 148/433

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 39/918, 17/962, 148/433?

Answer: LCM of Numerators as per given numbers 39/918, 17/962, 148/433 is

LCM of Numerators i.e. for 39,17,148 is 98124

GCF of denominators i.e. for 918,962,433 is 1.

Thus, LCM of Fractions is 98124.Finally, LCM of Fractions for 39/918, 17/962, 148/433 is 98124.