Least Common Multiple of 672/88, 420/94, 374/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 672/88, 420/94, 374/716 quickly i.e. 314160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 672/88, 420/94, 374/716 is 314160.

LCM(672/88, 420/94, 374/716) = 314160

LCM of 672/88, 420/94, 374/716

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 672/88,420/94,374/716

Given numbers are 672/88,420/94,374/716

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 672,420,374

Least Common Multiple of Numerators i.e. LCM of 672,420,374 is 628320.

GCF of Denominators means GCF of 88,94,716 as per the given fractions.

GCF of 88,94,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 672,420,374

LCM of Fractions 672/88,420/94,374/716 is 314160

2 672, 420, 374
2 336, 210, 187
3 168, 105, 187
7 56, 35, 187
8, 5, 187

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 8 x 5 x 187 = 628320

Least Common Multiple of 672,420,374 with GCF Formula

Least Common Multiple of 672,420,374 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 672,420,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,420,374) = 2

common factors(in case of two or more numbers have common factors) = 84

GCF(672,420,374) x common factors =2 x 84 = 168

LCM(672,420,374) = ( 672 × 420 × 374 ) / 168

LCM(672,420,374) = 105557760 / 168

LCM(672,420,374) = 628320


Lets's calculate GCF of 88,94,716

2 88, 94, 716
44, 47, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 628320/2

Therefore the LCM of Fractions 672/88,420/94,374/716 is 314160

Greatest Common Factor of 88,94,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,94,716 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 88,94,716 . The biggest common factor number is the GCF number.
So the greatest common factor 88,94,716 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 672/88, 420/94, 374/716

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 672/88, 420/94, 374/716?

Answer: LCM of Numerators as per given numbers 672/88, 420/94, 374/716 is

LCM of Numerators i.e. for 672,420,374 is 628320

GCF of denominators i.e. for 88,94,716 is 2.

Thus, LCM of Fractions is 314160.Finally, LCM of Fractions for 672/88, 420/94, 374/716 is 314160.