Least Common Multiple of 984/695, 552/415, 989/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 984/695, 552/415, 989/987 quickly i.e. 973176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 984/695, 552/415, 989/987 is 973176.

LCM(984/695, 552/415, 989/987) = 973176

LCM of 984/695, 552/415, 989/987

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 984/695,552/415,989/987

Given numbers are 984/695,552/415,989/987

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 984,552,989

Least Common Multiple of Numerators i.e. LCM of 984,552,989 is 973176.

GCF of Denominators means GCF of 695,415,987 as per the given fractions.

GCF of 695,415,987 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 984,552,989

LCM of Fractions 984/695,552/415,989/987 is 973176

2 984, 552, 989
2 492, 276, 989
2 246, 138, 989
3 123, 69, 989
23 41, 23, 989
41, 1, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 23 x 41 x 1 x 43 = 973176

Least Common Multiple of 984,552,989 with GCF Formula

Least Common Multiple of 984,552,989 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 984,552,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,552,989) = 1

common factors(in case of two or more numbers have common factors) = 552

GCF(984,552,989) x common factors =1 x 552 = 552

LCM(984,552,989) = ( 984 × 552 × 989 ) / 552

LCM(984,552,989) = 537193152 / 552

LCM(984,552,989) = 973176


Lets's calculate GCF of 695,415,987

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 973176/1

Therefore the LCM of Fractions 984/695,552/415,989/987 is 973176

Greatest Common Factor of 695,415,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,415,987 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 695,415,987 . The biggest common factor number is the GCF number.
So the greatest common factor 695,415,987 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 984/695, 552/415, 989/987

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 984/695, 552/415, 989/987?

Answer: LCM of Numerators as per given numbers 984/695, 552/415, 989/987 is

LCM of Numerators i.e. for 984,552,989 is 973176

GCF of denominators i.e. for 695,415,987 is 1.

Thus, LCM of Fractions is 973176.Finally, LCM of Fractions for 984/695, 552/415, 989/987 is 973176.