Least Common Multiple of 69/421, 90/683, 952/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/421, 90/683, 952/292 quickly i.e. 985320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/421, 90/683, 952/292 is 985320.

LCM(69/421, 90/683, 952/292) = 985320

LCM of 69/421, 90/683, 952/292

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 69/421,90/683,952/292

Given numbers are 69/421,90/683,952/292

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 69,90,952

Least Common Multiple of Numerators i.e. LCM of 69,90,952 is 985320.

GCF of Denominators means GCF of 421,683,292 as per the given fractions.

GCF of 421,683,292 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,90,952

LCM of Fractions 69/421,90/683,952/292 is 985320

2 69, 90, 952
3 69, 45, 476
23, 15, 476

∴ So the LCM of the given numbers is 2 x 3 x 23 x 15 x 476 = 985320

Least Common Multiple of 69,90,952 with GCF Formula

Least Common Multiple of 69,90,952 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 69,90,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,90,952) = 1

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

GCF(69,90,952) x common factors =1 x 6 = 6

LCM(69,90,952) = ( 69 × 90 × 952 ) / 6

LCM(69,90,952) = 5911920 / 6

LCM(69,90,952) = 985320


Lets's calculate GCF of 421,683,292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 985320/1

Therefore the LCM of Fractions 69/421,90/683,952/292 is 985320

Greatest Common Factor of 421,683,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 421,683,292 By Matching Biggest Common Factor Method

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 421,683,292 . The biggest common factor number is the GCF number.
So the greatest common factor 421,683,292 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 69/421, 90/683, 952/292

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 69/421, 90/683, 952/292?

Answer: LCM of Numerators as per given numbers 69/421, 90/683, 952/292 is

LCM of Numerators i.e. for 69,90,952 is 985320

GCF of denominators i.e. for 421,683,292 is 1.

Thus, LCM of Fractions is 985320.Finally, LCM of Fractions for 69/421, 90/683, 952/292 is 985320.