Least Common Multiple of 882/65, 689/49, 194/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 882/65, 689/49, 194/862 quickly i.e. 58946706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 882/65, 689/49, 194/862 is 58946706.

LCM(882/65, 689/49, 194/862) = 58946706

LCM of 882/65, 689/49, 194/862

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 882/65,689/49,194/862

Given numbers are 882/65,689/49,194/862

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 882,689,194

Least Common Multiple of Numerators i.e. LCM of 882,689,194 is 58946706.

GCF of Denominators means GCF of 65,49,862 as per the given fractions.

GCF of 65,49,862 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 882,689,194

LCM of Fractions 882/65,689/49,194/862 is 58946706

2 882, 689, 194
441, 689, 97

∴ So the LCM of the given numbers is 2 x 441 x 689 x 97 = 58946706

Least Common Multiple of 882,689,194 with GCF Formula

Least Common Multiple of 882,689,194 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 882,689,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,689,194) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(882,689,194) x common factors =1 x 2 = 2

LCM(882,689,194) = ( 882 × 689 × 194 ) / 2

LCM(882,689,194) = 117893412 / 2

LCM(882,689,194) = 58946706


Lets's calculate GCF of 65,49,862

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58946706/1

Therefore the LCM of Fractions 882/65,689/49,194/862 is 58946706

Greatest Common Factor of 65,49,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,49,862 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 65,49,862 . The biggest common factor number is the GCF number.
So the greatest common factor 65,49,862 is 1.


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Frequently Asked Questions on Fractional LCM of 882/65, 689/49, 194/862

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 882/65, 689/49, 194/862?

Answer: LCM of Numerators as per given numbers 882/65, 689/49, 194/862 is

LCM of Numerators i.e. for 882,689,194 is 58946706

GCF of denominators i.e. for 65,49,862 is 1.

Thus, LCM of Fractions is 58946706.Finally, LCM of Fractions for 882/65, 689/49, 194/862 is 58946706.