Least Common Multiple of 7940/762, 9350/9623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7940/762, 9350/9623 quickly i.e. 7423900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7940/762, 9350/9623 is 7423900.

LCM(7940/762, 9350/9623) = 7423900

LCM of 7940/762, 9350/9623

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 7940/762,9350/9623

Given numbers are 7940/762,9350/9623

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 7940,9350

Least Common Multiple of Numerators i.e. LCM of 7940,9350 is 7423900.

GCF of Denominators means GCF of 762,9623 as per the given fractions.

GCF of 762,9623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7940,9350

LCM of Fractions 7940/762,9350/9623 is 7423900

2 7940, 9350
5 3970, 4675
794, 935

∴ So the LCM of the given numbers is 2 x 5 x 794 x 935 = 7423900

Least Common Multiple of 7940,9350 with GCF Formula

Least Common Multiple of 7940,9350 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 7940,9350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7940,9350) = 10

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

GCF(7940,9350) x common factors =10 x 1 = 10

LCM(7940,9350) = ( 7940 × 9350 ) / 10

LCM(7940,9350) = 74239000 / 10

LCM(7940,9350) = 7423900


Lets's calculate GCF of 762,9623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7423900/1

Therefore the LCM of Fractions 7940/762,9350/9623 is 7423900

Greatest Common Factor of 762,9623 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,9623 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 9623

List of positive integer factors of 9623 that divides 9623 without a remainder.

1,9623

Greatest Common Factor

We found the factors 762,9623 . The biggest common factor number is the GCF number.
So the greatest common factor 762,9623 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7940/762, 9350/9623

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 7940/762, 9350/9623?

Answer: LCM of Numerators as per given numbers 7940/762, 9350/9623 is

LCM of Numerators i.e. for 7940,9350 is 7423900

GCF of denominators i.e. for 762,9623 is 1.

Thus, LCM of Fractions is 7423900.Finally, LCM of Fractions for 7940/762, 9350/9623 is 7423900.