Least Common Multiple of 9062/202, 1971/7758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9062/202, 1971/7758 quickly i.e. 8930601 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9062/202, 1971/7758 is 8930601.

LCM(9062/202, 1971/7758) = 8930601

LCM of 9062/202, 1971/7758

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 9062/202,1971/7758

Given numbers are 9062/202,1971/7758

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 9062,1971

Least Common Multiple of Numerators i.e. LCM of 9062,1971 is 17861202.

GCF of Denominators means GCF of 202,7758 as per the given fractions.

GCF of 202,7758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9062,1971

LCM of Fractions 9062/202,1971/7758 is 8930601

Given numbers has no common factors except 1. So, there LCM is their product i.e 17861202

Least Common Multiple of 9062,1971 with GCF Formula

Least Common Multiple of 9062,1971 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 9062,1971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9062,1971) = 1

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

GCF(9062,1971) x common factors =1 x 1 = 1

LCM(9062,1971) = ( 9062 × 1971 ) / 1

LCM(9062,1971) = 17861202 / 1

LCM(9062,1971) = 17861202


Lets's calculate GCF of 202,7758

2 202, 7758
101, 3879

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17861202/2

Therefore the LCM of Fractions 9062/202,1971/7758 is 8930601

Greatest Common Factor of 202,7758 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,7758 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 7758

List of positive integer factors of 7758 that divides 7758 without a remainder.

1,2,3,6,9,18,431,862,1293,2586,3879,7758

Greatest Common Factor

We found the factors 202,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 202,7758 is 2.


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Frequently Asked Questions on Fractional LCM of 9062/202, 1971/7758

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 9062/202, 1971/7758?

Answer: LCM of Numerators as per given numbers 9062/202, 1971/7758 is

LCM of Numerators i.e. for 9062,1971 is 17861202

GCF of denominators i.e. for 202,7758 is 2.

Thus, LCM of Fractions is 8930601.Finally, LCM of Fractions for 9062/202, 1971/7758 is 8930601.