Least Common Multiple of 65/34, 952/11, 696/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/34, 952/11, 696/201 quickly i.e. 5383560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/34, 952/11, 696/201 is 5383560.

LCM(65/34, 952/11, 696/201) = 5383560

LCM of 65/34, 952/11, 696/201

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 65/34,952/11,696/201

Given numbers are 65/34,952/11,696/201

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 65,952,696

Least Common Multiple of Numerators i.e. LCM of 65,952,696 is 5383560.

GCF of Denominators means GCF of 34,11,201 as per the given fractions.

GCF of 34,11,201 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,952,696

LCM of Fractions 65/34,952/11,696/201 is 5383560

2 65, 952, 696
2 65, 476, 348
2 65, 238, 174
65, 119, 87

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 119 x 87 = 5383560

Least Common Multiple of 65,952,696 with GCF Formula

Least Common Multiple of 65,952,696 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 65,952,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,952,696) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(65,952,696) x common factors =1 x 8 = 8

LCM(65,952,696) = ( 65 × 952 × 696 ) / 8

LCM(65,952,696) = 43068480 / 8

LCM(65,952,696) = 5383560


Lets's calculate GCF of 34,11,201

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5383560/1

Therefore the LCM of Fractions 65/34,952/11,696/201 is 5383560

Greatest Common Factor of 34,11,201 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,11,201 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Greatest Common Factor

We found the factors 34,11,201 . The biggest common factor number is the GCF number.
So the greatest common factor 34,11,201 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/34, 952/11, 696/201

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 65/34, 952/11, 696/201?

Answer: LCM of Numerators as per given numbers 65/34, 952/11, 696/201 is

LCM of Numerators i.e. for 65,952,696 is 5383560

GCF of denominators i.e. for 34,11,201 is 1.

Thus, LCM of Fractions is 5383560.Finally, LCM of Fractions for 65/34, 952/11, 696/201 is 5383560.