Least Common Multiple of 490/763, 250/378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/763, 250/378 quickly i.e. 1750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/763, 250/378 is 1750.

LCM(490/763, 250/378) = 1750

LCM of 490/763, 250/378

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 490/763,250/378

Given numbers are 490/763,250/378

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 490,250

Least Common Multiple of Numerators i.e. LCM of 490,250 is 12250.

GCF of Denominators means GCF of 763,378 as per the given fractions.

GCF of 763,378 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,250

LCM of Fractions 490/763,250/378 is 1750

2 490, 250
5 245, 125
49, 25

∴ So the LCM of the given numbers is 2 x 5 x 49 x 25 = 12250

Least Common Multiple of 490,250 with GCF Formula

Least Common Multiple of 490,250 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 490,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,250) = 10

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

GCF(490,250) x common factors =10 x 1 = 10

LCM(490,250) = ( 490 × 250 ) / 10

LCM(490,250) = 122500 / 10

LCM(490,250) = 12250


Lets's calculate GCF of 763,378

7 763, 378
109, 54

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12250/7

Therefore the LCM of Fractions 490/763,250/378 is 1750

Greatest Common Factor of 763,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 763,378 By Matching Biggest Common Factor Method

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 763,378 . The biggest common factor number is the GCF number.
So the greatest common factor 763,378 is 7.


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 490/763, 250/378

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 490/763, 250/378?

Answer: LCM of Numerators as per given numbers 490/763, 250/378 is

LCM of Numerators i.e. for 490,250 is 12250

GCF of denominators i.e. for 763,378 is 7.

Thus, LCM of Fractions is 1750.Finally, LCM of Fractions for 490/763, 250/378 is 1750.