Least Common Multiple of 30/711, 90/889, 126/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/711, 90/889, 126/742 quickly i.e. 630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/711, 90/889, 126/742 is 630.

LCM(30/711, 90/889, 126/742) = 630

LCM of 30/711, 90/889, 126/742

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 30/711,90/889,126/742

Given numbers are 30/711,90/889,126/742

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 30,90,126

Least Common Multiple of Numerators i.e. LCM of 30,90,126 is 630.

GCF of Denominators means GCF of 711,889,742 as per the given fractions.

GCF of 711,889,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,90,126

LCM of Fractions 30/711,90/889,126/742 is 630

2 30, 90, 126
3 15, 45, 63
3 5, 15, 21
5 5, 5, 7
1, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 7 = 630

Least Common Multiple of 30,90,126 with GCF Formula

Least Common Multiple of 30,90,126 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 30,90,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,90,126) = 6

common factors(in case of two or more numbers have common factors) = 90

GCF(30,90,126) x common factors =6 x 90 = 540

LCM(30,90,126) = ( 30 × 90 × 126 ) / 540

LCM(30,90,126) = 340200 / 540

LCM(30,90,126) = 630


Lets's calculate GCF of 711,889,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 630/1

Therefore the LCM of Fractions 30/711,90/889,126/742 is 630

Greatest Common Factor of 711,889,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,889,742 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 711,889,742 . The biggest common factor number is the GCF number.
So the greatest common factor 711,889,742 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 30/711, 90/889, 126/742

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 30/711, 90/889, 126/742?

Answer: LCM of Numerators as per given numbers 30/711, 90/889, 126/742 is

LCM of Numerators i.e. for 30,90,126 is 630

GCF of denominators i.e. for 711,889,742 is 1.

Thus, LCM of Fractions is 630.Finally, LCM of Fractions for 30/711, 90/889, 126/742 is 630.