Least Common Multiple of 48/954, 352/840, 772/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/954, 352/840, 772/429 quickly i.e. 67936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/954, 352/840, 772/429 is 67936.

LCM(48/954, 352/840, 772/429) = 67936

LCM of 48/954, 352/840, 772/429

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 48/954,352/840,772/429

Given numbers are 48/954,352/840,772/429

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 48,352,772

Least Common Multiple of Numerators i.e. LCM of 48,352,772 is 203808.

GCF of Denominators means GCF of 954,840,429 as per the given fractions.

GCF of 954,840,429 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,352,772

LCM of Fractions 48/954,352/840,772/429 is 67936

2 48, 352, 772
2 24, 176, 386
2 12, 88, 193
2 6, 44, 193
3, 22, 193

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 22 x 193 = 203808

Least Common Multiple of 48,352,772 with GCF Formula

Least Common Multiple of 48,352,772 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 48,352,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,352,772) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(48,352,772) x common factors =4 x 16 = 64

LCM(48,352,772) = ( 48 × 352 × 772 ) / 64

LCM(48,352,772) = 13043712 / 64

LCM(48,352,772) = 203808


Lets's calculate GCF of 954,840,429

3 954, 840, 429
318, 280, 143

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203808/3

Therefore the LCM of Fractions 48/954,352/840,772/429 is 67936

Greatest Common Factor of 954,840,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,840,429 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 954,840,429 . The biggest common factor number is the GCF number.
So the greatest common factor 954,840,429 is 3.


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 48/954, 352/840, 772/429

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 48/954, 352/840, 772/429?

Answer: LCM of Numerators as per given numbers 48/954, 352/840, 772/429 is

LCM of Numerators i.e. for 48,352,772 is 203808

GCF of denominators i.e. for 954,840,429 is 3.

Thus, LCM of Fractions is 67936.Finally, LCM of Fractions for 48/954, 352/840, 772/429 is 67936.