Least Common Multiple of 7490/952, 5726/5406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7490/952, 5726/5406 quickly i.e. 3063410/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7490/952, 5726/5406 is 3063410/34.

LCM(7490/952, 5726/5406) = 3063410/34

LCM of 7490/952, 5726/5406

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 7490/952,5726/5406

Given numbers are 7490/952,5726/5406

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 7490,5726

Least Common Multiple of Numerators i.e. LCM of 7490,5726 is 3063410.

GCF of Denominators means GCF of 952,5406 as per the given fractions.

GCF of 952,5406 is 34 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7490,5726

LCM of Fractions 7490/952,5726/5406 is 3063410/34

2 7490, 5726
7 3745, 2863
535, 409

∴ So the LCM of the given numbers is 2 x 7 x 535 x 409 = 3063410

Least Common Multiple of 7490,5726 with GCF Formula

Least Common Multiple of 7490,5726 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 7490,5726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7490,5726) = 14

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

GCF(7490,5726) x common factors =14 x 1 = 14

LCM(7490,5726) = ( 7490 × 5726 ) / 14

LCM(7490,5726) = 42887740 / 14

LCM(7490,5726) = 3063410


Lets's calculate GCF of 952,5406

2 952, 5406
17 476, 2703
28, 159

∴ So the GCF of the given numbers is 2 x 17 = 34

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3063410/34

Therefore the LCM of Fractions 7490/952,5726/5406 is 3063410/34

Greatest Common Factor of 952,5406 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,5406 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 5406

List of positive integer factors of 5406 that divides 5406 without a remainder.

1,2,3,6,17,34,51,53,102,106,159,318,901,1802,2703,5406

Greatest Common Factor

We found the factors 952,5406 . The biggest common factor number is the GCF number.
So the greatest common factor 952,5406 is 34.


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 7490/952, 5726/5406

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 7490/952, 5726/5406?

Answer: LCM of Numerators as per given numbers 7490/952, 5726/5406 is

LCM of Numerators i.e. for 7490,5726 is 3063410

GCF of denominators i.e. for 952,5406 is 34.

Thus, LCM of Fractions is 3063410/34.Finally, LCM of Fractions for 7490/952, 5726/5406 is 3063410/34.