Least Common Multiple of 10/704, 130/972, 417/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/704, 130/972, 417/548 quickly i.e. 54210/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/704, 130/972, 417/548 is 54210/4.

LCM(10/704, 130/972, 417/548) = 54210/4

LCM of 10/704, 130/972, 417/548

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 10/704,130/972,417/548

Given numbers are 10/704,130/972,417/548

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 10,130,417

Least Common Multiple of Numerators i.e. LCM of 10,130,417 is 54210.

GCF of Denominators means GCF of 704,972,548 as per the given fractions.

GCF of 704,972,548 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,130,417

LCM of Fractions 10/704,130/972,417/548 is 54210/4

2 10, 130, 417
5 5, 65, 417
1, 13, 417

∴ So the LCM of the given numbers is 2 x 5 x 1 x 13 x 417 = 54210

Least Common Multiple of 10,130,417 with GCF Formula

Least Common Multiple of 10,130,417 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 10,130,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,130,417) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(10,130,417) x common factors =1 x 10 = 10

LCM(10,130,417) = ( 10 × 130 × 417 ) / 10

LCM(10,130,417) = 542100 / 10

LCM(10,130,417) = 54210


Lets's calculate GCF of 704,972,548

2 704, 972, 548
2 352, 486, 274
176, 243, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54210/4

Therefore the LCM of Fractions 10/704,130/972,417/548 is 54210/4

Greatest Common Factor of 704,972,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,972,548 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 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 704,972,548 . The biggest common factor number is the GCF number.
So the greatest common factor 704,972,548 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 10/704, 130/972, 417/548

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 10/704, 130/972, 417/548?

Answer: LCM of Numerators as per given numbers 10/704, 130/972, 417/548 is

LCM of Numerators i.e. for 10,130,417 is 54210

GCF of denominators i.e. for 704,972,548 is 4.

Thus, LCM of Fractions is 54210/4.Finally, LCM of Fractions for 10/704, 130/972, 417/548 is 54210/4.