Least Common Multiple of 784/84, 549/76, 643/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/84, 549/76, 643/724 quickly i.e. 69189372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/84, 549/76, 643/724 is 69189372.

LCM(784/84, 549/76, 643/724) = 69189372

LCM of 784/84, 549/76, 643/724

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 784/84,549/76,643/724

Given numbers are 784/84,549/76,643/724

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 784,549,643

Least Common Multiple of Numerators i.e. LCM of 784,549,643 is 276757488.

GCF of Denominators means GCF of 84,76,724 as per the given fractions.

GCF of 84,76,724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,549,643

LCM of Fractions 784/84,549/76,643/724 is 69189372

Given numbers has no common factors except 1. So, there LCM is their product i.e 276757488

Least Common Multiple of 784,549,643 with GCF Formula

Least Common Multiple of 784,549,643 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 784,549,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,549,643) = 1

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

GCF(784,549,643) x common factors =1 x 1 = 1

LCM(784,549,643) = ( 784 × 549 × 643 ) / 1

LCM(784,549,643) = 276757488 / 1

LCM(784,549,643) = 276757488


Lets's calculate GCF of 84,76,724

2 84, 76, 724
2 42, 38, 362
21, 19, 181

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276757488/4

Therefore the LCM of Fractions 784/84,549/76,643/724 is 69189372

Greatest Common Factor of 84,76,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,76,724 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 84,76,724 . The biggest common factor number is the GCF number.
So the greatest common factor 84,76,724 is 4.


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 784/84, 549/76, 643/724

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 784/84, 549/76, 643/724?

Answer: LCM of Numerators as per given numbers 784/84, 549/76, 643/724 is

LCM of Numerators i.e. for 784,549,643 is 276757488

GCF of denominators i.e. for 84,76,724 is 4.

Thus, LCM of Fractions is 69189372.Finally, LCM of Fractions for 784/84, 549/76, 643/724 is 69189372.