Least Common Multiple of 49/214, 875/426, 578/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/214, 875/426, 578/511 quickly i.e. 3540250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/214, 875/426, 578/511 is 3540250.

LCM(49/214, 875/426, 578/511) = 3540250

LCM of 49/214, 875/426, 578/511

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 49/214,875/426,578/511

Given numbers are 49/214,875/426,578/511

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 49,875,578

Least Common Multiple of Numerators i.e. LCM of 49,875,578 is 3540250.

GCF of Denominators means GCF of 214,426,511 as per the given fractions.

GCF of 214,426,511 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,875,578

LCM of Fractions 49/214,875/426,578/511 is 3540250

7 49, 875, 578
7, 125, 578

∴ So the LCM of the given numbers is 7 x 7 x 125 x 578 = 3540250

Least Common Multiple of 49,875,578 with GCF Formula

Least Common Multiple of 49,875,578 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 49,875,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,875,578) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,875,578) x common factors =1 x 7 = 7

LCM(49,875,578) = ( 49 × 875 × 578 ) / 7

LCM(49,875,578) = 24781750 / 7

LCM(49,875,578) = 3540250


Lets's calculate GCF of 214,426,511

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3540250/1

Therefore the LCM of Fractions 49/214,875/426,578/511 is 3540250

Greatest Common Factor of 214,426,511 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,426,511 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Greatest Common Factor

We found the factors 214,426,511 . The biggest common factor number is the GCF number.
So the greatest common factor 214,426,511 is 1.


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 49/214, 875/426, 578/511

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 49/214, 875/426, 578/511?

Answer: LCM of Numerators as per given numbers 49/214, 875/426, 578/511 is

LCM of Numerators i.e. for 49,875,578 is 3540250

GCF of denominators i.e. for 214,426,511 is 1.

Thus, LCM of Fractions is 3540250.Finally, LCM of Fractions for 49/214, 875/426, 578/511 is 3540250.