Least Common Multiple of 83/949, 2554/9620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/949, 2554/9620 quickly i.e. 211982/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/949, 2554/9620 is 211982/13.

LCM(83/949, 2554/9620) = 211982/13

LCM of 83/949, 2554/9620

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 83/949,2554/9620

Given numbers are 83/949,2554/9620

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 83,2554

Least Common Multiple of Numerators i.e. LCM of 83,2554 is 211982.

GCF of Denominators means GCF of 949,9620 as per the given fractions.

GCF of 949,9620 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,2554

LCM of Fractions 83/949,2554/9620 is 211982/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 211982

Least Common Multiple of 83,2554 with GCF Formula

Least Common Multiple of 83,2554 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 83,2554 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,2554) = 1

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

GCF(83,2554) x common factors =1 x 1 = 1

LCM(83,2554) = ( 83 × 2554 ) / 1

LCM(83,2554) = 211982 / 1

LCM(83,2554) = 211982


Lets's calculate GCF of 949,9620

13 949, 9620
73, 740

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211982/13

Therefore the LCM of Fractions 83/949,2554/9620 is 211982/13

Greatest Common Factor of 949,9620 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,9620 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 9620

List of positive integer factors of 9620 that divides 9620 without a remainder.

1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620

Greatest Common Factor

We found the factors 949,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 949,9620 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/949, 2554/9620

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 83/949, 2554/9620?

Answer: LCM of Numerators as per given numbers 83/949, 2554/9620 is

LCM of Numerators i.e. for 83,2554 is 211982

GCF of denominators i.e. for 949,9620 is 13.

Thus, LCM of Fractions is 211982/13.Finally, LCM of Fractions for 83/949, 2554/9620 is 211982/13.