Least Common Multiple of 55/704, 24/970, 654/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/704, 24/970, 654/764 quickly i.e. 71940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/704, 24/970, 654/764 is 71940.

LCM(55/704, 24/970, 654/764) = 71940

LCM of 55/704, 24/970, 654/764

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 55/704,24/970,654/764

Given numbers are 55/704,24/970,654/764

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 55,24,654

Least Common Multiple of Numerators i.e. LCM of 55,24,654 is 143880.

GCF of Denominators means GCF of 704,970,764 as per the given fractions.

GCF of 704,970,764 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,24,654

LCM of Fractions 55/704,24/970,654/764 is 71940

2 55, 24, 654
3 55, 12, 327
55, 4, 109

∴ So the LCM of the given numbers is 2 x 3 x 55 x 4 x 109 = 143880

Least Common Multiple of 55,24,654 with GCF Formula

Least Common Multiple of 55,24,654 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 55,24,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,24,654) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(55,24,654) x common factors =1 x 6 = 6

LCM(55,24,654) = ( 55 × 24 × 654 ) / 6

LCM(55,24,654) = 863280 / 6

LCM(55,24,654) = 143880


Lets's calculate GCF of 704,970,764

2 704, 970, 764
352, 485, 382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143880/2

Therefore the LCM of Fractions 55/704,24/970,654/764 is 71940

Greatest Common Factor of 704,970,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,970,764 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 704,970,764 . The biggest common factor number is the GCF number.
So the greatest common factor 704,970,764 is 2.


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 55/704, 24/970, 654/764

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 55/704, 24/970, 654/764?

Answer: LCM of Numerators as per given numbers 55/704, 24/970, 654/764 is

LCM of Numerators i.e. for 55,24,654 is 143880

GCF of denominators i.e. for 704,970,764 is 2.

Thus, LCM of Fractions is 71940.Finally, LCM of Fractions for 55/704, 24/970, 654/764 is 71940.