Least Common Multiple of 7348/862, 9574/9620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7348/862, 9574/9620 quickly i.e. 17587438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7348/862, 9574/9620 is 17587438.

LCM(7348/862, 9574/9620) = 17587438

LCM of 7348/862, 9574/9620

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 7348/862,9574/9620

Given numbers are 7348/862,9574/9620

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 7348,9574

Least Common Multiple of Numerators i.e. LCM of 7348,9574 is 35174876.

GCF of Denominators means GCF of 862,9620 as per the given fractions.

GCF of 862,9620 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7348,9574

LCM of Fractions 7348/862,9574/9620 is 17587438

2 7348, 9574
3674, 4787

∴ So the LCM of the given numbers is 2 x 3674 x 4787 = 35174876

Least Common Multiple of 7348,9574 with GCF Formula

Least Common Multiple of 7348,9574 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 7348,9574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7348,9574) = 2

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

GCF(7348,9574) x common factors =2 x 1 = 2

LCM(7348,9574) = ( 7348 × 9574 ) / 2

LCM(7348,9574) = 70349752 / 2

LCM(7348,9574) = 35174876


Lets's calculate GCF of 862,9620

2 862, 9620
431, 4810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35174876/2

Therefore the LCM of Fractions 7348/862,9574/9620 is 17587438

Greatest Common Factor of 862,9620 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,9620 By Matching Biggest Common Factor Method

Factors of 862

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

1,2,431,862

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 862,9620 . The biggest common factor number is the GCF number.
So the greatest common factor 862,9620 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 7348/862, 9574/9620

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 7348/862, 9574/9620?

Answer: LCM of Numerators as per given numbers 7348/862, 9574/9620 is

LCM of Numerators i.e. for 7348,9574 is 35174876

GCF of denominators i.e. for 862,9620 is 2.

Thus, LCM of Fractions is 17587438.Finally, LCM of Fractions for 7348/862, 9574/9620 is 17587438.