Least Common Multiple of 3346/690, 5402/7475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3346/690, 5402/7475 quickly i.e. 9037546/115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3346/690, 5402/7475 is 9037546/115.

LCM(3346/690, 5402/7475) = 9037546/115

LCM of 3346/690, 5402/7475

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 3346/690,5402/7475

Given numbers are 3346/690,5402/7475

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 3346,5402

Least Common Multiple of Numerators i.e. LCM of 3346,5402 is 9037546.

GCF of Denominators means GCF of 690,7475 as per the given fractions.

GCF of 690,7475 is 115 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3346,5402

LCM of Fractions 3346/690,5402/7475 is 9037546/115

2 3346, 5402
1673, 2701

∴ So the LCM of the given numbers is 2 x 1673 x 2701 = 9037546

Least Common Multiple of 3346,5402 with GCF Formula

Least Common Multiple of 3346,5402 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 3346,5402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3346,5402) = 2

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

GCF(3346,5402) x common factors =2 x 1 = 2

LCM(3346,5402) = ( 3346 × 5402 ) / 2

LCM(3346,5402) = 18075092 / 2

LCM(3346,5402) = 9037546


Lets's calculate GCF of 690,7475

5 690, 7475
23 138, 1495
6, 65

∴ So the GCF of the given numbers is 5 x 23 = 115

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9037546/115

Therefore the LCM of Fractions 3346/690,5402/7475 is 9037546/115

Greatest Common Factor of 690,7475 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,7475 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 7475

List of positive integer factors of 7475 that divides 7475 without a remainder.

1,5,13,23,25,65,115,299,325,575,1495,7475

Greatest Common Factor

We found the factors 690,7475 . The biggest common factor number is the GCF number.
So the greatest common factor 690,7475 is 115.


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 3346/690, 5402/7475

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 3346/690, 5402/7475?

Answer: LCM of Numerators as per given numbers 3346/690, 5402/7475 is

LCM of Numerators i.e. for 3346,5402 is 9037546

GCF of denominators i.e. for 690,7475 is 115.

Thus, LCM of Fractions is 9037546/115.Finally, LCM of Fractions for 3346/690, 5402/7475 is 9037546/115.