Least Common Multiple of 9469/948, 7270/986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9469/948, 7270/986 quickly i.e. 34419815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9469/948, 7270/986 is 34419815.

LCM(9469/948, 7270/986) = 34419815

LCM of 9469/948, 7270/986

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 9469/948,7270/986

Given numbers are 9469/948,7270/986

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 9469,7270

Least Common Multiple of Numerators i.e. LCM of 9469,7270 is 68839630.

GCF of Denominators means GCF of 948,986 as per the given fractions.

GCF of 948,986 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9469,7270

LCM of Fractions 9469/948,7270/986 is 34419815

Given numbers has no common factors except 1. So, there LCM is their product i.e 68839630

Least Common Multiple of 9469,7270 with GCF Formula

Least Common Multiple of 9469,7270 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 9469,7270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9469,7270) = 1

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

GCF(9469,7270) x common factors =1 x 1 = 1

LCM(9469,7270) = ( 9469 × 7270 ) / 1

LCM(9469,7270) = 68839630 / 1

LCM(9469,7270) = 68839630


Lets's calculate GCF of 948,986

2 948, 986
474, 493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68839630/2

Therefore the LCM of Fractions 9469/948,7270/986 is 34419815

Greatest Common Factor of 948,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 948,986 By Matching Biggest Common Factor Method

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 948,986 . The biggest common factor number is the GCF number.
So the greatest common factor 948,986 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9469/948, 7270/986

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 9469/948, 7270/986?

Answer: LCM of Numerators as per given numbers 9469/948, 7270/986 is

LCM of Numerators i.e. for 9469,7270 is 68839630

GCF of denominators i.e. for 948,986 is 2.

Thus, LCM of Fractions is 34419815.Finally, LCM of Fractions for 9469/948, 7270/986 is 34419815.