Least Common Multiple of 290/306, 6300/376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/306, 6300/376 quickly i.e. 91350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/306, 6300/376 is 91350.

LCM(290/306, 6300/376) = 91350

LCM of 290/306, 6300/376

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 290/306,6300/376

Given numbers are 290/306,6300/376

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 290,6300

Least Common Multiple of Numerators i.e. LCM of 290,6300 is 182700.

GCF of Denominators means GCF of 306,376 as per the given fractions.

GCF of 306,376 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,6300

LCM of Fractions 290/306,6300/376 is 91350

2 290, 6300
5 145, 3150
29, 630

∴ So the LCM of the given numbers is 2 x 5 x 29 x 630 = 182700

Least Common Multiple of 290,6300 with GCF Formula

Least Common Multiple of 290,6300 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 290,6300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,6300) = 10

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

GCF(290,6300) x common factors =10 x 1 = 10

LCM(290,6300) = ( 290 × 6300 ) / 10

LCM(290,6300) = 1827000 / 10

LCM(290,6300) = 182700


Lets's calculate GCF of 306,376

2 306, 376
153, 188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182700/2

Therefore the LCM of Fractions 290/306,6300/376 is 91350

Greatest Common Factor of 306,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,376 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 306,376 . The biggest common factor number is the GCF number.
So the greatest common factor 306,376 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 290/306, 6300/376

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 290/306, 6300/376?

Answer: LCM of Numerators as per given numbers 290/306, 6300/376 is

LCM of Numerators i.e. for 290,6300 is 182700

GCF of denominators i.e. for 306,376 is 2.

Thus, LCM of Fractions is 91350.Finally, LCM of Fractions for 290/306, 6300/376 is 91350.