Least Common Multiple of 967/84, 875/97, 345/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 967/84, 875/97, 345/706 quickly i.e. 58382625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 967/84, 875/97, 345/706 is 58382625.

LCM(967/84, 875/97, 345/706) = 58382625

LCM of 967/84, 875/97, 345/706

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 967/84,875/97,345/706

Given numbers are 967/84,875/97,345/706

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 967,875,345

Least Common Multiple of Numerators i.e. LCM of 967,875,345 is 58382625.

GCF of Denominators means GCF of 84,97,706 as per the given fractions.

GCF of 84,97,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 967,875,345

LCM of Fractions 967/84,875/97,345/706 is 58382625

5 967, 875, 345
967, 175, 69

∴ So the LCM of the given numbers is 5 x 967 x 175 x 69 = 58382625

Least Common Multiple of 967,875,345 with GCF Formula

Least Common Multiple of 967,875,345 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 967,875,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,875,345) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(967,875,345) x common factors =1 x 5 = 5

LCM(967,875,345) = ( 967 × 875 × 345 ) / 5

LCM(967,875,345) = 291913125 / 5

LCM(967,875,345) = 58382625


Lets's calculate GCF of 84,97,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58382625/1

Therefore the LCM of Fractions 967/84,875/97,345/706 is 58382625

Greatest Common Factor of 84,97,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,97,706 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 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 84,97,706 . The biggest common factor number is the GCF number.
So the greatest common factor 84,97,706 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 967/84, 875/97, 345/706

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 967/84, 875/97, 345/706?

Answer: LCM of Numerators as per given numbers 967/84, 875/97, 345/706 is

LCM of Numerators i.e. for 967,875,345 is 58382625

GCF of denominators i.e. for 84,97,706 is 1.

Thus, LCM of Fractions is 58382625.Finally, LCM of Fractions for 967/84, 875/97, 345/706 is 58382625.