Least Common Multiple of 420/614, 690/123, 126/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 420/614, 690/123, 126/692 quickly i.e. 28980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 420/614, 690/123, 126/692 is 28980.

LCM(420/614, 690/123, 126/692) = 28980

LCM of 420/614, 690/123, 126/692

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 420/614,690/123,126/692

Given numbers are 420/614,690/123,126/692

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 420,690,126

Least Common Multiple of Numerators i.e. LCM of 420,690,126 is 28980.

GCF of Denominators means GCF of 614,123,692 as per the given fractions.

GCF of 614,123,692 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 420,690,126

LCM of Fractions 420/614,690/123,126/692 is 28980

2 420, 690, 126
3 210, 345, 63
5 70, 115, 21
7 14, 23, 21
2, 23, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 2 x 23 x 3 = 28980

Least Common Multiple of 420,690,126 with GCF Formula

Least Common Multiple of 420,690,126 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 420,690,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,690,126) = 6

common factors(in case of two or more numbers have common factors) = 210

GCF(420,690,126) x common factors =6 x 210 = 1260

LCM(420,690,126) = ( 420 × 690 × 126 ) / 1260

LCM(420,690,126) = 36514800 / 1260

LCM(420,690,126) = 28980


Lets's calculate GCF of 614,123,692

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28980/1

Therefore the LCM of Fractions 420/614,690/123,126/692 is 28980

Greatest Common Factor of 614,123,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,123,692 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 614,123,692 . The biggest common factor number is the GCF number.
So the greatest common factor 614,123,692 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 420/614, 690/123, 126/692

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 420/614, 690/123, 126/692?

Answer: LCM of Numerators as per given numbers 420/614, 690/123, 126/692 is

LCM of Numerators i.e. for 420,690,126 is 28980

GCF of denominators i.e. for 614,123,692 is 1.

Thus, LCM of Fractions is 28980.Finally, LCM of Fractions for 420/614, 690/123, 126/692 is 28980.