Least Common Multiple of 7250/974, 6042/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7250/974, 6042/388 quickly i.e. 10951125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7250/974, 6042/388 is 10951125.

LCM(7250/974, 6042/388) = 10951125

LCM of 7250/974, 6042/388

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 7250/974,6042/388

Given numbers are 7250/974,6042/388

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 7250,6042

Least Common Multiple of Numerators i.e. LCM of 7250,6042 is 21902250.

GCF of Denominators means GCF of 974,388 as per the given fractions.

GCF of 974,388 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7250,6042

LCM of Fractions 7250/974,6042/388 is 10951125

2 7250, 6042
3625, 3021

∴ So the LCM of the given numbers is 2 x 3625 x 3021 = 21902250

Least Common Multiple of 7250,6042 with GCF Formula

Least Common Multiple of 7250,6042 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 7250,6042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7250,6042) = 2

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

GCF(7250,6042) x common factors =2 x 1 = 2

LCM(7250,6042) = ( 7250 × 6042 ) / 2

LCM(7250,6042) = 43804500 / 2

LCM(7250,6042) = 21902250


Lets's calculate GCF of 974,388

2 974, 388
487, 194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21902250/2

Therefore the LCM of Fractions 7250/974,6042/388 is 10951125

Greatest Common Factor of 974,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,388 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 974,388 . The biggest common factor number is the GCF number.
So the greatest common factor 974,388 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 7250/974, 6042/388

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 7250/974, 6042/388?

Answer: LCM of Numerators as per given numbers 7250/974, 6042/388 is

LCM of Numerators i.e. for 7250,6042 is 21902250

GCF of denominators i.e. for 974,388 is 2.

Thus, LCM of Fractions is 10951125.Finally, LCM of Fractions for 7250/974, 6042/388 is 10951125.