Least Common Multiple of 61/428, 313/969, 126/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/428, 313/969, 126/716 quickly i.e. 2405718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/428, 313/969, 126/716 is 2405718.

LCM(61/428, 313/969, 126/716) = 2405718

LCM of 61/428, 313/969, 126/716

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 61/428,313/969,126/716

Given numbers are 61/428,313/969,126/716

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 61,313,126

Least Common Multiple of Numerators i.e. LCM of 61,313,126 is 2405718.

GCF of Denominators means GCF of 428,969,716 as per the given fractions.

GCF of 428,969,716 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,313,126

LCM of Fractions 61/428,313/969,126/716 is 2405718

Given numbers has no common factors except 1. So, there LCM is their product i.e 2405718

Least Common Multiple of 61,313,126 with GCF Formula

Least Common Multiple of 61,313,126 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 61,313,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,313,126) = 1

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

GCF(61,313,126) x common factors =1 x 1 = 1

LCM(61,313,126) = ( 61 × 313 × 126 ) / 1

LCM(61,313,126) = 2405718 / 1

LCM(61,313,126) = 2405718


Lets's calculate GCF of 428,969,716

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2405718/1

Therefore the LCM of Fractions 61/428,313/969,126/716 is 2405718

Greatest Common Factor of 428,969,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,969,716 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 428,969,716 . The biggest common factor number is the GCF number.
So the greatest common factor 428,969,716 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 61/428, 313/969, 126/716

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 61/428, 313/969, 126/716?

Answer: LCM of Numerators as per given numbers 61/428, 313/969, 126/716 is

LCM of Numerators i.e. for 61,313,126 is 2405718

GCF of denominators i.e. for 428,969,716 is 1.

Thus, LCM of Fractions is 2405718.Finally, LCM of Fractions for 61/428, 313/969, 126/716 is 2405718.